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