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Simplifying 2x + 3(5 + -1x) = 9(x + -7) 2x + (5 * 3 + -1x * 3) = 9(x + -7) 2x + (15 + -3x) = 9(x + -7) Reorder the terms: 15 + 2x + -3x = 9(x + -7) Combine like terms: 2x + -3x = -1x 15 + -1x = 9(x + -7) Reorder the terms: 15 + -1x = 9(-7 + x) 15 + -1x = (-7 * 9 + x * 9) 15 + -1x = (-63 + 9x) Solving 15 + -1x = -63 + 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. 15 + -1x + -9x = -63 + 9x + -9x Combine like terms: -1x + -9x = -10x 15 + -10x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -10x = -63 + 0 15 + -10x = -63 Add '-15' to each side of the equation. 15 + -15 + -10x = -63 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -63 + -15 -10x = -63 + -15 Combine like terms: -63 + -15 = -78 -10x = -78 Divide each side by '-10'. x = 7.8 Simplifying x = 7.8
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