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Simplifying 3x + 15 = 4(2x + -5) Reorder the terms: 15 + 3x = 4(2x + -5) Reorder the terms: 15 + 3x = 4(-5 + 2x) 15 + 3x = (-5 * 4 + 2x * 4) 15 + 3x = (-20 + 8x) Solving 15 + 3x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 3x + -8x = -20 + 8x + -8x Combine like terms: 3x + -8x = -5x 15 + -5x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -5x = -20 + 0 15 + -5x = -20 Add '-15' to each side of the equation. 15 + -15 + -5x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -20 + -15 -5x = -20 + -15 Combine like terms: -20 + -15 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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