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Simplifying 2(x + -4) = 3 + -5(2x + 1) Reorder the terms: 2(-4 + x) = 3 + -5(2x + 1) (-4 * 2 + x * 2) = 3 + -5(2x + 1) (-8 + 2x) = 3 + -5(2x + 1) Reorder the terms: -8 + 2x = 3 + -5(1 + 2x) -8 + 2x = 3 + (1 * -5 + 2x * -5) -8 + 2x = 3 + (-5 + -10x) Combine like terms: 3 + -5 = -2 -8 + 2x = -2 + -10x Solving -8 + 2x = -2 + -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. -8 + 2x + 10x = -2 + -10x + 10x Combine like terms: 2x + 10x = 12x -8 + 12x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 12x = -2 + 0 -8 + 12x = -2 Add '8' to each side of the equation. -8 + 8 + 12x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = -2 + 8 12x = -2 + 8 Combine like terms: -2 + 8 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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