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Simplifying 4(3 + -1x) + -2(x + -2) = 5(4 + -2x) (3 * 4 + -1x * 4) + -2(x + -2) = 5(4 + -2x) (12 + -4x) + -2(x + -2) = 5(4 + -2x) Reorder the terms: 12 + -4x + -2(-2 + x) = 5(4 + -2x) 12 + -4x + (-2 * -2 + x * -2) = 5(4 + -2x) 12 + -4x + (4 + -2x) = 5(4 + -2x) Reorder the terms: 12 + 4 + -4x + -2x = 5(4 + -2x) Combine like terms: 12 + 4 = 16 16 + -4x + -2x = 5(4 + -2x) Combine like terms: -4x + -2x = -6x 16 + -6x = 5(4 + -2x) 16 + -6x = (4 * 5 + -2x * 5) 16 + -6x = (20 + -10x) Solving 16 + -6x = 20 + -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. 16 + -6x + 10x = 20 + -10x + 10x Combine like terms: -6x + 10x = 4x 16 + 4x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 16 + 4x = 20 + 0 16 + 4x = 20 Add '-16' to each side of the equation. 16 + -16 + 4x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 20 + -16 4x = 20 + -16 Combine like terms: 20 + -16 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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