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Simplifying 2(x + -2) = 3x + -1(4x + -5) Reorder the terms: 2(-2 + x) = 3x + -1(4x + -5) (-2 * 2 + x * 2) = 3x + -1(4x + -5) (-4 + 2x) = 3x + -1(4x + -5) Reorder the terms: -4 + 2x = 3x + -1(-5 + 4x) -4 + 2x = 3x + (-5 * -1 + 4x * -1) -4 + 2x = 3x + (5 + -4x) Reorder the terms: -4 + 2x = 5 + 3x + -4x Combine like terms: 3x + -4x = -1x -4 + 2x = 5 + -1x Solving -4 + 2x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 2x + x = 5 + -1x + x Combine like terms: 2x + x = 3x -4 + 3x = 5 + -1x + x Combine like terms: -1x + x = 0 -4 + 3x = 5 + 0 -4 + 3x = 5 Add '4' to each side of the equation. -4 + 4 + 3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 5 + 4 3x = 5 + 4 Combine like terms: 5 + 4 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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