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Simplifying 3(5x + 4) = x + 4(x + -2) Reorder the terms: 3(4 + 5x) = x + 4(x + -2) (4 * 3 + 5x * 3) = x + 4(x + -2) (12 + 15x) = x + 4(x + -2) Reorder the terms: 12 + 15x = x + 4(-2 + x) 12 + 15x = x + (-2 * 4 + x * 4) 12 + 15x = x + (-8 + 4x) Reorder the terms: 12 + 15x = -8 + x + 4x Combine like terms: x + 4x = 5x 12 + 15x = -8 + 5x Solving 12 + 15x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 15x + -5x = -8 + 5x + -5x Combine like terms: 15x + -5x = 10x 12 + 10x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 10x = -8 + 0 12 + 10x = -8 Add '-12' to each side of the equation. 12 + -12 + 10x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = -8 + -12 10x = -8 + -12 Combine like terms: -8 + -12 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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