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Simplifying 4(x + -2) + 17 = 3(x + 5) Reorder the terms: 4(-2 + x) + 17 = 3(x + 5) (-2 * 4 + x * 4) + 17 = 3(x + 5) (-8 + 4x) + 17 = 3(x + 5) Reorder the terms: -8 + 17 + 4x = 3(x + 5) Combine like terms: -8 + 17 = 9 9 + 4x = 3(x + 5) Reorder the terms: 9 + 4x = 3(5 + x) 9 + 4x = (5 * 3 + x * 3) 9 + 4x = (15 + 3x) Solving 9 + 4x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 4x + -3x = 15 + 3x + -3x Combine like terms: 4x + -3x = 1x 9 + 1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 1x = 15 + 0 9 + 1x = 15 Add '-9' to each side of the equation. 9 + -9 + 1x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 15 + -9 1x = 15 + -9 Combine like terms: 15 + -9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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