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Simplifying 6 + -4(2x + 1) = 5(3 + -2x) Reorder the terms: 6 + -4(1 + 2x) = 5(3 + -2x) 6 + (1 * -4 + 2x * -4) = 5(3 + -2x) 6 + (-4 + -8x) = 5(3 + -2x) Combine like terms: 6 + -4 = 2 2 + -8x = 5(3 + -2x) 2 + -8x = (3 * 5 + -2x * 5) 2 + -8x = (15 + -10x) Solving 2 + -8x = 15 + -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. 2 + -8x + 10x = 15 + -10x + 10x Combine like terms: -8x + 10x = 2x 2 + 2x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + 2x = 15 + 0 2 + 2x = 15 Add '-2' to each side of the equation. 2 + -2 + 2x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 15 + -2 2x = 15 + -2 Combine like terms: 15 + -2 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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