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Simplifying 8(-1x + 3) = 7(2x + -4) Reorder the terms: 8(3 + -1x) = 7(2x + -4) (3 * 8 + -1x * 8) = 7(2x + -4) (24 + -8x) = 7(2x + -4) Reorder the terms: 24 + -8x = 7(-4 + 2x) 24 + -8x = (-4 * 7 + 2x * 7) 24 + -8x = (-28 + 14x) Solving 24 + -8x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + -8x + -14x = -28 + 14x + -14x Combine like terms: -8x + -14x = -22x 24 + -22x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -22x = -28 + 0 24 + -22x = -28 Add '-24' to each side of the equation. 24 + -24 + -22x = -28 + -24 Combine like terms: 24 + -24 = 0 0 + -22x = -28 + -24 -22x = -28 + -24 Combine like terms: -28 + -24 = -52 -22x = -52 Divide each side by '-22'. x = 2.363636364 Simplifying x = 2.363636364
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