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Simplifying 9(x + -9) + -1(x + -13) = 2(x + 14) Reorder the terms: 9(-9 + x) + -1(x + -13) = 2(x + 14) (-9 * 9 + x * 9) + -1(x + -13) = 2(x + 14) (-81 + 9x) + -1(x + -13) = 2(x + 14) Reorder the terms: -81 + 9x + -1(-13 + x) = 2(x + 14) -81 + 9x + (-13 * -1 + x * -1) = 2(x + 14) -81 + 9x + (13 + -1x) = 2(x + 14) Reorder the terms: -81 + 13 + 9x + -1x = 2(x + 14) Combine like terms: -81 + 13 = -68 -68 + 9x + -1x = 2(x + 14) Combine like terms: 9x + -1x = 8x -68 + 8x = 2(x + 14) Reorder the terms: -68 + 8x = 2(14 + x) -68 + 8x = (14 * 2 + x * 2) -68 + 8x = (28 + 2x) Solving -68 + 8x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -68 + 8x + -2x = 28 + 2x + -2x Combine like terms: 8x + -2x = 6x -68 + 6x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -68 + 6x = 28 + 0 -68 + 6x = 28 Add '68' to each side of the equation. -68 + 68 + 6x = 28 + 68 Combine like terms: -68 + 68 = 0 0 + 6x = 28 + 68 6x = 28 + 68 Combine like terms: 28 + 68 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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