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Simplifying 3x + 3(x + 5) = 2(5x + -4) Reorder the terms: 3x + 3(5 + x) = 2(5x + -4) 3x + (5 * 3 + x * 3) = 2(5x + -4) 3x + (15 + 3x) = 2(5x + -4) Reorder the terms: 15 + 3x + 3x = 2(5x + -4) Combine like terms: 3x + 3x = 6x 15 + 6x = 2(5x + -4) Reorder the terms: 15 + 6x = 2(-4 + 5x) 15 + 6x = (-4 * 2 + 5x * 2) 15 + 6x = (-8 + 10x) Solving 15 + 6x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 6x + -10x = -8 + 10x + -10x Combine like terms: 6x + -10x = -4x 15 + -4x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -4x = -8 + 0 15 + -4x = -8 Add '-15' to each side of the equation. 15 + -15 + -4x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -8 + -15 -4x = -8 + -15 Combine like terms: -8 + -15 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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