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Simplifying -2(x + 6) + 28 = 4(3 + -1x) Reorder the terms: -2(6 + x) + 28 = 4(3 + -1x) (6 * -2 + x * -2) + 28 = 4(3 + -1x) (-12 + -2x) + 28 = 4(3 + -1x) Reorder the terms: -12 + 28 + -2x = 4(3 + -1x) Combine like terms: -12 + 28 = 16 16 + -2x = 4(3 + -1x) 16 + -2x = (3 * 4 + -1x * 4) 16 + -2x = (12 + -4x) Solving 16 + -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. 16 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x 16 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 2x = 12 + 0 16 + 2x = 12 Add '-16' to each side of the equation. 16 + -16 + 2x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 12 + -16 2x = 12 + -16 Combine like terms: 12 + -16 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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