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