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Simplifying 5(x + -2) + 17 = 4(x + 30) Reorder the terms: 5(-2 + x) + 17 = 4(x + 30) (-2 * 5 + x * 5) + 17 = 4(x + 30) (-10 + 5x) + 17 = 4(x + 30) Reorder the terms: -10 + 17 + 5x = 4(x + 30) Combine like terms: -10 + 17 = 7 7 + 5x = 4(x + 30) Reorder the terms: 7 + 5x = 4(30 + x) 7 + 5x = (30 * 4 + x * 4) 7 + 5x = (120 + 4x) Solving 7 + 5x = 120 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 5x + -4x = 120 + 4x + -4x Combine like terms: 5x + -4x = 1x 7 + 1x = 120 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 1x = 120 + 0 7 + 1x = 120 Add '-7' to each side of the equation. 7 + -7 + 1x = 120 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 120 + -7 1x = 120 + -7 Combine like terms: 120 + -7 = 113 1x = 113 Divide each side by '1'. x = 113 Simplifying x = 113
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