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Simplifying -4(x + -6) + -6 = -2(3x + 5) Reorder the terms: -4(-6 + x) + -6 = -2(3x + 5) (-6 * -4 + x * -4) + -6 = -2(3x + 5) (24 + -4x) + -6 = -2(3x + 5) Reorder the terms: 24 + -6 + -4x = -2(3x + 5) Combine like terms: 24 + -6 = 18 18 + -4x = -2(3x + 5) Reorder the terms: 18 + -4x = -2(5 + 3x) 18 + -4x = (5 * -2 + 3x * -2) 18 + -4x = (-10 + -6x) Solving 18 + -4x = -10 + -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. 18 + -4x + 6x = -10 + -6x + 6x Combine like terms: -4x + 6x = 2x 18 + 2x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + 2x = -10 + 0 18 + 2x = -10 Add '-18' to each side of the equation. 18 + -18 + 2x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = -10 + -18 2x = -10 + -18 Combine like terms: -10 + -18 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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