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Simplifying -3(x + -9) + 2(7x + -2) = 10(x + 6) + -9 Reorder the terms: -3(-9 + x) + 2(7x + -2) = 10(x + 6) + -9 (-9 * -3 + x * -3) + 2(7x + -2) = 10(x + 6) + -9 (27 + -3x) + 2(7x + -2) = 10(x + 6) + -9 Reorder the terms: 27 + -3x + 2(-2 + 7x) = 10(x + 6) + -9 27 + -3x + (-2 * 2 + 7x * 2) = 10(x + 6) + -9 27 + -3x + (-4 + 14x) = 10(x + 6) + -9 Reorder the terms: 27 + -4 + -3x + 14x = 10(x + 6) + -9 Combine like terms: 27 + -4 = 23 23 + -3x + 14x = 10(x + 6) + -9 Combine like terms: -3x + 14x = 11x 23 + 11x = 10(x + 6) + -9 Reorder the terms: 23 + 11x = 10(6 + x) + -9 23 + 11x = (6 * 10 + x * 10) + -9 23 + 11x = (60 + 10x) + -9 Reorder the terms: 23 + 11x = 60 + -9 + 10x Combine like terms: 60 + -9 = 51 23 + 11x = 51 + 10x Solving 23 + 11x = 51 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 23 + 11x + -10x = 51 + 10x + -10x Combine like terms: 11x + -10x = 1x 23 + 1x = 51 + 10x + -10x Combine like terms: 10x + -10x = 0 23 + 1x = 51 + 0 23 + 1x = 51 Add '-23' to each side of the equation. 23 + -23 + 1x = 51 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 51 + -23 1x = 51 + -23 Combine like terms: 51 + -23 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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