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Simplifying -1(4x + -5) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7 Reorder the terms: -1(-5 + 4x) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7 (-5 * -1 + 4x * -1) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7 (5 + -4x) + -1(3x + -7) + 2 = -2(x + -9) + -1(9x + 2) + 7 Reorder the terms: 5 + -4x + -1(-7 + 3x) + 2 = -2(x + -9) + -1(9x + 2) + 7 5 + -4x + (-7 * -1 + 3x * -1) + 2 = -2(x + -9) + -1(9x + 2) + 7 5 + -4x + (7 + -3x) + 2 = -2(x + -9) + -1(9x + 2) + 7 Reorder the terms: 5 + 7 + 2 + -4x + -3x = -2(x + -9) + -1(9x + 2) + 7 Combine like terms: 5 + 7 = 12 12 + 2 + -4x + -3x = -2(x + -9) + -1(9x + 2) + 7 Combine like terms: 12 + 2 = 14 14 + -4x + -3x = -2(x + -9) + -1(9x + 2) + 7 Combine like terms: -4x + -3x = -7x 14 + -7x = -2(x + -9) + -1(9x + 2) + 7 Reorder the terms: 14 + -7x = -2(-9 + x) + -1(9x + 2) + 7 14 + -7x = (-9 * -2 + x * -2) + -1(9x + 2) + 7 14 + -7x = (18 + -2x) + -1(9x + 2) + 7 Reorder the terms: 14 + -7x = 18 + -2x + -1(2 + 9x) + 7 14 + -7x = 18 + -2x + (2 * -1 + 9x * -1) + 7 14 + -7x = 18 + -2x + (-2 + -9x) + 7 Reorder the terms: 14 + -7x = 18 + -2 + 7 + -2x + -9x Combine like terms: 18 + -2 = 16 14 + -7x = 16 + 7 + -2x + -9x Combine like terms: 16 + 7 = 23 14 + -7x = 23 + -2x + -9x Combine like terms: -2x + -9x = -11x 14 + -7x = 23 + -11x Solving 14 + -7x = 23 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 14 + -7x + 11x = 23 + -11x + 11x Combine like terms: -7x + 11x = 4x 14 + 4x = 23 + -11x + 11x Combine like terms: -11x + 11x = 0 14 + 4x = 23 + 0 14 + 4x = 23 Add '-14' to each side of the equation. 14 + -14 + 4x = 23 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 23 + -14 4x = 23 + -14 Combine like terms: 23 + -14 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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