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Simplifying 4(2x + 1) = 6 + -1(2x + -4) Reorder the terms: 4(1 + 2x) = 6 + -1(2x + -4) (1 * 4 + 2x * 4) = 6 + -1(2x + -4) (4 + 8x) = 6 + -1(2x + -4) Reorder the terms: 4 + 8x = 6 + -1(-4 + 2x) 4 + 8x = 6 + (-4 * -1 + 2x * -1) 4 + 8x = 6 + (4 + -2x) Combine like terms: 6 + 4 = 10 4 + 8x = 10 + -2x Solving 4 + 8x = 10 + -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. 4 + 8x + 2x = 10 + -2x + 2x Combine like terms: 8x + 2x = 10x 4 + 10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 10x = 10 + 0 4 + 10x = 10 Add '-4' to each side of the equation. 4 + -4 + 10x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 10 + -4 10x = 10 + -4 Combine like terms: 10 + -4 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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