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Simplifying -2(x + 6) + -6 = 4(x + 3) Reorder the terms: -2(6 + x) + -6 = 4(x + 3) (6 * -2 + x * -2) + -6 = 4(x + 3) (-12 + -2x) + -6 = 4(x + 3) Reorder the terms: -12 + -6 + -2x = 4(x + 3) Combine like terms: -12 + -6 = -18 -18 + -2x = 4(x + 3) Reorder the terms: -18 + -2x = 4(3 + x) -18 + -2x = (3 * 4 + x * 4) -18 + -2x = (12 + 4x) Solving -18 + -2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + -2x + -4x = 12 + 4x + -4x Combine like terms: -2x + -4x = -6x -18 + -6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -6x = 12 + 0 -18 + -6x = 12 Add '18' to each side of the equation. -18 + 18 + -6x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 12 + 18 -6x = 12 + 18 Combine like terms: 12 + 18 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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