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Simplifying 2(x + 4) = 8(2x + -1) Reorder the terms: 2(4 + x) = 8(2x + -1) (4 * 2 + x * 2) = 8(2x + -1) (8 + 2x) = 8(2x + -1) Reorder the terms: 8 + 2x = 8(-1 + 2x) 8 + 2x = (-1 * 8 + 2x * 8) 8 + 2x = (-8 + 16x) Solving 8 + 2x = -8 + 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. 8 + 2x + -16x = -8 + 16x + -16x Combine like terms: 2x + -16x = -14x 8 + -14x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -14x = -8 + 0 8 + -14x = -8 Add '-8' to each side of the equation. 8 + -8 + -14x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -8 + -8 -14x = -8 + -8 Combine like terms: -8 + -8 = -16 -14x = -16 Divide each side by '-14'. x = 1.142857143 Simplifying x = 1.142857143
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