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Simplifying 2(7 + -4x) = 8 + -1(x + 3) (7 * 2 + -4x * 2) = 8 + -1(x + 3) (14 + -8x) = 8 + -1(x + 3) Reorder the terms: 14 + -8x = 8 + -1(3 + x) 14 + -8x = 8 + (3 * -1 + x * -1) 14 + -8x = 8 + (-3 + -1x) Combine like terms: 8 + -3 = 5 14 + -8x = 5 + -1x Solving 14 + -8x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + -8x + x = 5 + -1x + x Combine like terms: -8x + x = -7x 14 + -7x = 5 + -1x + x Combine like terms: -1x + x = 0 14 + -7x = 5 + 0 14 + -7x = 5 Add '-14' to each side of the equation. 14 + -14 + -7x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 5 + -14 -7x = 5 + -14 Combine like terms: 5 + -14 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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