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Simplifying -4(x + -3) + 2 = 6(x + -1) Reorder the terms: -4(-3 + x) + 2 = 6(x + -1) (-3 * -4 + x * -4) + 2 = 6(x + -1) (12 + -4x) + 2 = 6(x + -1) Reorder the terms: 12 + 2 + -4x = 6(x + -1) Combine like terms: 12 + 2 = 14 14 + -4x = 6(x + -1) Reorder the terms: 14 + -4x = 6(-1 + x) 14 + -4x = (-1 * 6 + x * 6) 14 + -4x = (-6 + 6x) Solving 14 + -4x = -6 + 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. 14 + -4x + -6x = -6 + 6x + -6x Combine like terms: -4x + -6x = -10x 14 + -10x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -10x = -6 + 0 14 + -10x = -6 Add '-14' to each side of the equation. 14 + -14 + -10x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -6 + -14 -10x = -6 + -14 Combine like terms: -6 + -14 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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