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Simplifying 10(x + -9) + -9(5 + -1x) = 2(6 + x) Reorder the terms: 10(-9 + x) + -9(5 + -1x) = 2(6 + x) (-9 * 10 + x * 10) + -9(5 + -1x) = 2(6 + x) (-90 + 10x) + -9(5 + -1x) = 2(6 + x) -90 + 10x + (5 * -9 + -1x * -9) = 2(6 + x) -90 + 10x + (-45 + 9x) = 2(6 + x) Reorder the terms: -90 + -45 + 10x + 9x = 2(6 + x) Combine like terms: -90 + -45 = -135 -135 + 10x + 9x = 2(6 + x) Combine like terms: 10x + 9x = 19x -135 + 19x = 2(6 + x) -135 + 19x = (6 * 2 + x * 2) -135 + 19x = (12 + 2x) Solving -135 + 19x = 12 + 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. -135 + 19x + -2x = 12 + 2x + -2x Combine like terms: 19x + -2x = 17x -135 + 17x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -135 + 17x = 12 + 0 -135 + 17x = 12 Add '135' to each side of the equation. -135 + 135 + 17x = 12 + 135 Combine like terms: -135 + 135 = 0 0 + 17x = 12 + 135 17x = 12 + 135 Combine like terms: 12 + 135 = 147 17x = 147 Divide each side by '17'. x = 8.647058824 Simplifying x = 8.647058824
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