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Simplifying 7 = 2(2x + 5) + -3(x + -5) Reorder the terms: 7 = 2(5 + 2x) + -3(x + -5) 7 = (5 * 2 + 2x * 2) + -3(x + -5) 7 = (10 + 4x) + -3(x + -5) Reorder the terms: 7 = 10 + 4x + -3(-5 + x) 7 = 10 + 4x + (-5 * -3 + x * -3) 7 = 10 + 4x + (15 + -3x) Reorder the terms: 7 = 10 + 15 + 4x + -3x Combine like terms: 10 + 15 = 25 7 = 25 + 4x + -3x Combine like terms: 4x + -3x = 1x 7 = 25 + 1x Solving 7 = 25 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -1x = 25 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + -1x = 25 + 0 7 + -1x = 25 Add '-7' to each side of the equation. 7 + -7 + -1x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 25 + -7 -1x = 25 + -7 Combine like terms: 25 + -7 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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