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Simplifying -8(3x + -1) = -7(2x + -4) Reorder the terms: -8(-1 + 3x) = -7(2x + -4) (-1 * -8 + 3x * -8) = -7(2x + -4) (8 + -24x) = -7(2x + -4) Reorder the terms: 8 + -24x = -7(-4 + 2x) 8 + -24x = (-4 * -7 + 2x * -7) 8 + -24x = (28 + -14x) Solving 8 + -24x = 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. 8 + -24x + 14x = 28 + -14x + 14x Combine like terms: -24x + 14x = -10x 8 + -10x = 28 + -14x + 14x Combine like terms: -14x + 14x = 0 8 + -10x = 28 + 0 8 + -10x = 28 Add '-8' to each side of the equation. 8 + -8 + -10x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 28 + -8 -10x = 28 + -8 Combine like terms: 28 + -8 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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