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Simplifying 2(x + -4) + 5x = 3 + -5(2 + -1x) Reorder the terms: 2(-4 + x) + 5x = 3 + -5(2 + -1x) (-4 * 2 + x * 2) + 5x = 3 + -5(2 + -1x) (-8 + 2x) + 5x = 3 + -5(2 + -1x) Combine like terms: 2x + 5x = 7x -8 + 7x = 3 + -5(2 + -1x) -8 + 7x = 3 + (2 * -5 + -1x * -5) -8 + 7x = 3 + (-10 + 5x) Combine like terms: 3 + -10 = -7 -8 + 7x = -7 + 5x Solving -8 + 7x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 7x + -5x = -7 + 5x + -5x Combine like terms: 7x + -5x = 2x -8 + 2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 2x = -7 + 0 -8 + 2x = -7 Add '8' to each side of the equation. -8 + 8 + 2x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -7 + 8 2x = -7 + 8 Combine like terms: -7 + 8 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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