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Simplifying 7 + -2(x + -5) = 8 + -3(2x + -7) Reorder the terms: 7 + -2(-5 + x) = 8 + -3(2x + -7) 7 + (-5 * -2 + x * -2) = 8 + -3(2x + -7) 7 + (10 + -2x) = 8 + -3(2x + -7) Combine like terms: 7 + 10 = 17 17 + -2x = 8 + -3(2x + -7) Reorder the terms: 17 + -2x = 8 + -3(-7 + 2x) 17 + -2x = 8 + (-7 * -3 + 2x * -3) 17 + -2x = 8 + (21 + -6x) Combine like terms: 8 + 21 = 29 17 + -2x = 29 + -6x Solving 17 + -2x = 29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + -2x + 6x = 29 + -6x + 6x Combine like terms: -2x + 6x = 4x 17 + 4x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 4x = 29 + 0 17 + 4x = 29 Add '-17' to each side of the equation. 17 + -17 + 4x = 29 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 29 + -17 4x = 29 + -17 Combine like terms: 29 + -17 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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