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Simplifying 7 = 2(x + 5) + -3(x + -2) Reorder the terms: 7 = 2(5 + x) + -3(x + -2) 7 = (5 * 2 + x * 2) + -3(x + -2) 7 = (10 + 2x) + -3(x + -2) Reorder the terms: 7 = 10 + 2x + -3(-2 + x) 7 = 10 + 2x + (-2 * -3 + x * -3) 7 = 10 + 2x + (6 + -3x) Reorder the terms: 7 = 10 + 6 + 2x + -3x Combine like terms: 10 + 6 = 16 7 = 16 + 2x + -3x Combine like terms: 2x + -3x = -1x 7 = 16 + -1x Solving 7 = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + x = 16 + -1x + x Combine like terms: -1x + x = 0 7 + x = 16 + 0 7 + x = 16 Add '-7' to each side of the equation. 7 + -7 + x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + x = 16 + -7 x = 16 + -7 Combine like terms: 16 + -7 = 9 x = 9 Simplifying x = 9
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