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Simplifying -6x + 6 = -4(2x + 1) Reorder the terms: 6 + -6x = -4(2x + 1) Reorder the terms: 6 + -6x = -4(1 + 2x) 6 + -6x = (1 * -4 + 2x * -4) 6 + -6x = (-4 + -8x) Solving 6 + -6x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + -6x + 8x = -4 + -8x + 8x Combine like terms: -6x + 8x = 2x 6 + 2x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 2x = -4 + 0 6 + 2x = -4 Add '-6' to each side of the equation. 6 + -6 + 2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -4 + -6 2x = -4 + -6 Combine like terms: -4 + -6 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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