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Simplifying 7(2 + -1x) = 8(4 + -2x) (2 * 7 + -1x * 7) = 8(4 + -2x) (14 + -7x) = 8(4 + -2x) 14 + -7x = (4 * 8 + -2x * 8) 14 + -7x = (32 + -16x) Solving 14 + -7x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 14 + -7x + 16x = 32 + -16x + 16x Combine like terms: -7x + 16x = 9x 14 + 9x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 14 + 9x = 32 + 0 14 + 9x = 32 Add '-14' to each side of the equation. 14 + -14 + 9x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 32 + -14 9x = 32 + -14 Combine like terms: 32 + -14 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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