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Simplifying 4(x + 7 + 2x) = -2(1 + -1x) Reorder the terms: 4(7 + x + 2x) = -2(1 + -1x) Combine like terms: x + 2x = 3x 4(7 + 3x) = -2(1 + -1x) (7 * 4 + 3x * 4) = -2(1 + -1x) (28 + 12x) = -2(1 + -1x) 28 + 12x = (1 * -2 + -1x * -2) 28 + 12x = (-2 + 2x) Solving 28 + 12x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 12x + -2x = -2 + 2x + -2x Combine like terms: 12x + -2x = 10x 28 + 10x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 10x = -2 + 0 28 + 10x = -2 Add '-28' to each side of the equation. 28 + -28 + 10x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = -2 + -28 10x = -2 + -28 Combine like terms: -2 + -28 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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