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Simplifying 3 + 2(4x + -4) = 5 + -5(2x + 1) Reorder the terms: 3 + 2(-4 + 4x) = 5 + -5(2x + 1) 3 + (-4 * 2 + 4x * 2) = 5 + -5(2x + 1) 3 + (-8 + 8x) = 5 + -5(2x + 1) Combine like terms: 3 + -8 = -5 -5 + 8x = 5 + -5(2x + 1) Reorder the terms: -5 + 8x = 5 + -5(1 + 2x) -5 + 8x = 5 + (1 * -5 + 2x * -5) -5 + 8x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -5 + 8x = 0 + -10x -5 + 8x = -10x Solving -5 + 8x = -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. -5 + 8x + 10x = -10x + 10x Combine like terms: 8x + 10x = 18x -5 + 18x = -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 18x = 0 Add '5' to each side of the equation. -5 + 5 + 18x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 0 + 5 18x = 0 + 5 Combine like terms: 0 + 5 = 5 18x = 5 Divide each side by '18'. x = 0.2777777778 Simplifying x = 0.2777777778
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