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Simplifying 4(x + -2) = -6(3 + -1x) Reorder the terms: 4(-2 + x) = -6(3 + -1x) (-2 * 4 + x * 4) = -6(3 + -1x) (-8 + 4x) = -6(3 + -1x) -8 + 4x = (3 * -6 + -1x * -6) -8 + 4x = (-18 + 6x) Solving -8 + 4x = -18 + 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. -8 + 4x + -6x = -18 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = -18 + 0 -8 + -2x = -18 Add '8' to each side of the equation. -8 + 8 + -2x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -18 + 8 -2x = -18 + 8 Combine like terms: -18 + 8 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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