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Simplifying -5x + 6 = -2(4x + 6) Reorder the terms: 6 + -5x = -2(4x + 6) Reorder the terms: 6 + -5x = -2(6 + 4x) 6 + -5x = (6 * -2 + 4x * -2) 6 + -5x = (-12 + -8x) Solving 6 + -5x = -12 + -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 + -5x + 8x = -12 + -8x + 8x Combine like terms: -5x + 8x = 3x 6 + 3x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 3x = -12 + 0 6 + 3x = -12 Add '-6' to each side of the equation. 6 + -6 + 3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -12 + -6 3x = -12 + -6 Combine like terms: -12 + -6 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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