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Simplifying 2(4x + 7) = 10 + -10(1 + -1x) Reorder the terms: 2(7 + 4x) = 10 + -10(1 + -1x) (7 * 2 + 4x * 2) = 10 + -10(1 + -1x) (14 + 8x) = 10 + -10(1 + -1x) 14 + 8x = 10 + (1 * -10 + -1x * -10) 14 + 8x = 10 + (-10 + 10x) Combine like terms: 10 + -10 = 0 14 + 8x = 0 + 10x 14 + 8x = 10x Solving 14 + 8x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 8x + -10x = 10x + -10x Combine like terms: 8x + -10x = -2x 14 + -2x = 10x + -10x Combine like terms: 10x + -10x = 0 14 + -2x = 0 Add '-14' to each side of the equation. 14 + -14 + -2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 0 + -14 -2x = 0 + -14 Combine like terms: 0 + -14 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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