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Simplifying 5(3x + 4) = 12 + -2(x + -4) Reorder the terms: 5(4 + 3x) = 12 + -2(x + -4) (4 * 5 + 3x * 5) = 12 + -2(x + -4) (20 + 15x) = 12 + -2(x + -4) Reorder the terms: 20 + 15x = 12 + -2(-4 + x) 20 + 15x = 12 + (-4 * -2 + x * -2) 20 + 15x = 12 + (8 + -2x) Combine like terms: 12 + 8 = 20 20 + 15x = 20 + -2x Add '-20' to each side of the equation. 20 + -20 + 15x = 20 + -20 + -2x Combine like terms: 20 + -20 = 0 0 + 15x = 20 + -20 + -2x 15x = 20 + -20 + -2x Combine like terms: 20 + -20 = 0 15x = 0 + -2x 15x = -2x Solving 15x = -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. 15x + 2x = -2x + 2x Combine like terms: 15x + 2x = 17x 17x = -2x + 2x Combine like terms: -2x + 2x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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