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Simplifying -1(4x + -6) + -1(2x + -4) + 9 = -6(x + -8) + -1(8x + 9) + 4 Reorder the terms: -1(-6 + 4x) + -1(2x + -4) + 9 = -6(x + -8) + -1(8x + 9) + 4 (-6 * -1 + 4x * -1) + -1(2x + -4) + 9 = -6(x + -8) + -1(8x + 9) + 4 (6 + -4x) + -1(2x + -4) + 9 = -6(x + -8) + -1(8x + 9) + 4 Reorder the terms: 6 + -4x + -1(-4 + 2x) + 9 = -6(x + -8) + -1(8x + 9) + 4 6 + -4x + (-4 * -1 + 2x * -1) + 9 = -6(x + -8) + -1(8x + 9) + 4 6 + -4x + (4 + -2x) + 9 = -6(x + -8) + -1(8x + 9) + 4 Reorder the terms: 6 + 4 + 9 + -4x + -2x = -6(x + -8) + -1(8x + 9) + 4 Combine like terms: 6 + 4 = 10 10 + 9 + -4x + -2x = -6(x + -8) + -1(8x + 9) + 4 Combine like terms: 10 + 9 = 19 19 + -4x + -2x = -6(x + -8) + -1(8x + 9) + 4 Combine like terms: -4x + -2x = -6x 19 + -6x = -6(x + -8) + -1(8x + 9) + 4 Reorder the terms: 19 + -6x = -6(-8 + x) + -1(8x + 9) + 4 19 + -6x = (-8 * -6 + x * -6) + -1(8x + 9) + 4 19 + -6x = (48 + -6x) + -1(8x + 9) + 4 Reorder the terms: 19 + -6x = 48 + -6x + -1(9 + 8x) + 4 19 + -6x = 48 + -6x + (9 * -1 + 8x * -1) + 4 19 + -6x = 48 + -6x + (-9 + -8x) + 4 Reorder the terms: 19 + -6x = 48 + -9 + 4 + -6x + -8x Combine like terms: 48 + -9 = 39 19 + -6x = 39 + 4 + -6x + -8x Combine like terms: 39 + 4 = 43 19 + -6x = 43 + -6x + -8x Combine like terms: -6x + -8x = -14x 19 + -6x = 43 + -14x Solving 19 + -6x = 43 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 19 + -6x + 14x = 43 + -14x + 14x Combine like terms: -6x + 14x = 8x 19 + 8x = 43 + -14x + 14x Combine like terms: -14x + 14x = 0 19 + 8x = 43 + 0 19 + 8x = 43 Add '-19' to each side of the equation. 19 + -19 + 8x = 43 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 43 + -19 8x = 43 + -19 Combine like terms: 43 + -19 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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