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Simplifying 7 + -2(x + 3) = 13 + -15(2x + -5) Reorder the terms: 7 + -2(3 + x) = 13 + -15(2x + -5) 7 + (3 * -2 + x * -2) = 13 + -15(2x + -5) 7 + (-6 + -2x) = 13 + -15(2x + -5) Combine like terms: 7 + -6 = 1 1 + -2x = 13 + -15(2x + -5) Reorder the terms: 1 + -2x = 13 + -15(-5 + 2x) 1 + -2x = 13 + (-5 * -15 + 2x * -15) 1 + -2x = 13 + (75 + -30x) Combine like terms: 13 + 75 = 88 1 + -2x = 88 + -30x Solving 1 + -2x = 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. 1 + -2x + 30x = 88 + -30x + 30x Combine like terms: -2x + 30x = 28x 1 + 28x = 88 + -30x + 30x Combine like terms: -30x + 30x = 0 1 + 28x = 88 + 0 1 + 28x = 88 Add '-1' to each side of the equation. 1 + -1 + 28x = 88 + -1 Combine like terms: 1 + -1 = 0 0 + 28x = 88 + -1 28x = 88 + -1 Combine like terms: 88 + -1 = 87 28x = 87 Divide each side by '28'. x = 3.107142857 Simplifying x = 3.107142857
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