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Simplifying 4(2x + 7) = 12 + -2(10 + -2x) Reorder the terms: 4(7 + 2x) = 12 + -2(10 + -2x) (7 * 4 + 2x * 4) = 12 + -2(10 + -2x) (28 + 8x) = 12 + -2(10 + -2x) 28 + 8x = 12 + (10 * -2 + -2x * -2) 28 + 8x = 12 + (-20 + 4x) Combine like terms: 12 + -20 = -8 28 + 8x = -8 + 4x Solving 28 + 8x = -8 + 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. 28 + 8x + -4x = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x 28 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 4x = -8 + 0 28 + 4x = -8 Add '-28' to each side of the equation. 28 + -28 + 4x = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = -8 + -28 4x = -8 + -28 Combine like terms: -8 + -28 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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