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Simplifying -1(2x + -4) + -1(4x + -9) + 8 = -7(x + -5) + -1(9x + 6) + 6 Reorder the terms: -1(-4 + 2x) + -1(4x + -9) + 8 = -7(x + -5) + -1(9x + 6) + 6 (-4 * -1 + 2x * -1) + -1(4x + -9) + 8 = -7(x + -5) + -1(9x + 6) + 6 (4 + -2x) + -1(4x + -9) + 8 = -7(x + -5) + -1(9x + 6) + 6 Reorder the terms: 4 + -2x + -1(-9 + 4x) + 8 = -7(x + -5) + -1(9x + 6) + 6 4 + -2x + (-9 * -1 + 4x * -1) + 8 = -7(x + -5) + -1(9x + 6) + 6 4 + -2x + (9 + -4x) + 8 = -7(x + -5) + -1(9x + 6) + 6 Reorder the terms: 4 + 9 + 8 + -2x + -4x = -7(x + -5) + -1(9x + 6) + 6 Combine like terms: 4 + 9 = 13 13 + 8 + -2x + -4x = -7(x + -5) + -1(9x + 6) + 6 Combine like terms: 13 + 8 = 21 21 + -2x + -4x = -7(x + -5) + -1(9x + 6) + 6 Combine like terms: -2x + -4x = -6x 21 + -6x = -7(x + -5) + -1(9x + 6) + 6 Reorder the terms: 21 + -6x = -7(-5 + x) + -1(9x + 6) + 6 21 + -6x = (-5 * -7 + x * -7) + -1(9x + 6) + 6 21 + -6x = (35 + -7x) + -1(9x + 6) + 6 Reorder the terms: 21 + -6x = 35 + -7x + -1(6 + 9x) + 6 21 + -6x = 35 + -7x + (6 * -1 + 9x * -1) + 6 21 + -6x = 35 + -7x + (-6 + -9x) + 6 Reorder the terms: 21 + -6x = 35 + -6 + 6 + -7x + -9x Combine like terms: 35 + -6 = 29 21 + -6x = 29 + 6 + -7x + -9x Combine like terms: 29 + 6 = 35 21 + -6x = 35 + -7x + -9x Combine like terms: -7x + -9x = -16x 21 + -6x = 35 + -16x Solving 21 + -6x = 35 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 21 + -6x + 16x = 35 + -16x + 16x Combine like terms: -6x + 16x = 10x 21 + 10x = 35 + -16x + 16x Combine like terms: -16x + 16x = 0 21 + 10x = 35 + 0 21 + 10x = 35 Add '-21' to each side of the equation. 21 + -21 + 10x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 35 + -21 10x = 35 + -21 Combine like terms: 35 + -21 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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