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