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