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Simplifying -2(x + 7) + -2(1 + -6x) = 9(x + -6) + 10 Reorder the terms: -2(7 + x) + -2(1 + -6x) = 9(x + -6) + 10 (7 * -2 + x * -2) + -2(1 + -6x) = 9(x + -6) + 10 (-14 + -2x) + -2(1 + -6x) = 9(x + -6) + 10 -14 + -2x + (1 * -2 + -6x * -2) = 9(x + -6) + 10 -14 + -2x + (-2 + 12x) = 9(x + -6) + 10 Reorder the terms: -14 + -2 + -2x + 12x = 9(x + -6) + 10 Combine like terms: -14 + -2 = -16 -16 + -2x + 12x = 9(x + -6) + 10 Combine like terms: -2x + 12x = 10x -16 + 10x = 9(x + -6) + 10 Reorder the terms: -16 + 10x = 9(-6 + x) + 10 -16 + 10x = (-6 * 9 + x * 9) + 10 -16 + 10x = (-54 + 9x) + 10 Reorder the terms: -16 + 10x = -54 + 10 + 9x Combine like terms: -54 + 10 = -44 -16 + 10x = -44 + 9x Solving -16 + 10x = -44 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 10x + -9x = -44 + 9x + -9x Combine like terms: 10x + -9x = 1x -16 + 1x = -44 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + 1x = -44 + 0 -16 + 1x = -44 Add '16' to each side of the equation. -16 + 16 + 1x = -44 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -44 + 16 1x = -44 + 16 Combine like terms: -44 + 16 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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