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Simplifying 7 + -12(x + 3) = 13 + -15(2x + -5) Reorder the terms: 7 + -12(3 + x) = 13 + -15(2x + -5) 7 + (3 * -12 + x * -12) = 13 + -15(2x + -5) 7 + (-36 + -12x) = 13 + -15(2x + -5) Combine like terms: 7 + -36 = -29 -29 + -12x = 13 + -15(2x + -5) Reorder the terms: -29 + -12x = 13 + -15(-5 + 2x) -29 + -12x = 13 + (-5 * -15 + 2x * -15) -29 + -12x = 13 + (75 + -30x) Combine like terms: 13 + 75 = 88 -29 + -12x = 88 + -30x Solving -29 + -12x = 88 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -29 + -12x + 30x = 88 + -30x + 30x Combine like terms: -12x + 30x = 18x -29 + 18x = 88 + -30x + 30x Combine like terms: -30x + 30x = 0 -29 + 18x = 88 + 0 -29 + 18x = 88 Add '29' to each side of the equation. -29 + 29 + 18x = 88 + 29 Combine like terms: -29 + 29 = 0 0 + 18x = 88 + 29 18x = 88 + 29 Combine like terms: 88 + 29 = 117 18x = 117 Divide each side by '18'. x = 6.5 Simplifying x = 6.5
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