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Simplifying -4(x + 1) + 2x = 3(2x + -1) Reorder the terms: -4(1 + x) + 2x = 3(2x + -1) (1 * -4 + x * -4) + 2x = 3(2x + -1) (-4 + -4x) + 2x = 3(2x + -1) Combine like terms: -4x + 2x = -2x -4 + -2x = 3(2x + -1) Reorder the terms: -4 + -2x = 3(-1 + 2x) -4 + -2x = (-1 * 3 + 2x * 3) -4 + -2x = (-3 + 6x) Solving -4 + -2x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -2x + -6x = -3 + 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = -3 + 0 -4 + -8x = -3 Add '4' to each side of the equation. -4 + 4 + -8x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -3 + 4 -8x = -3 + 4 Combine like terms: -3 + 4 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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