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Simplifying 4(x + -2) + 15 = 3(x + 5) Reorder the terms: 4(-2 + x) + 15 = 3(x + 5) (-2 * 4 + x * 4) + 15 = 3(x + 5) (-8 + 4x) + 15 = 3(x + 5) Reorder the terms: -8 + 15 + 4x = 3(x + 5) Combine like terms: -8 + 15 = 7 7 + 4x = 3(x + 5) Reorder the terms: 7 + 4x = 3(5 + x) 7 + 4x = (5 * 3 + x * 3) 7 + 4x = (15 + 3x) Solving 7 + 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. 7 + 4x + -3x = 15 + 3x + -3x Combine like terms: 4x + -3x = 1x 7 + 1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 1x = 15 + 0 7 + 1x = 15 Add '-7' to each side of the equation. 7 + -7 + 1x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 15 + -7 1x = 15 + -7 Combine like terms: 15 + -7 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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