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Simplifying 8(2x + 1) = -2(7 + -3x) Reorder the terms: 8(1 + 2x) = -2(7 + -3x) (1 * 8 + 2x * 8) = -2(7 + -3x) (8 + 16x) = -2(7 + -3x) 8 + 16x = (7 * -2 + -3x * -2) 8 + 16x = (-14 + 6x) Solving 8 + 16x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 16x + -6x = -14 + 6x + -6x Combine like terms: 16x + -6x = 10x 8 + 10x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 10x = -14 + 0 8 + 10x = -14 Add '-8' to each side of the equation. 8 + -8 + 10x = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -14 + -8 10x = -14 + -8 Combine like terms: -14 + -8 = -22 10x = -22 Divide each side by '10'. x = -2.2 Simplifying x = -2.2
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