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Simplifying 8(3 + -5x) = 2x + -7 (3 * 8 + -5x * 8) = 2x + -7 (24 + -40x) = 2x + -7 Reorder the terms: 24 + -40x = -7 + 2x Solving 24 + -40x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -40x + -2x = -7 + 2x + -2x Combine like terms: -40x + -2x = -42x 24 + -42x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -42x = -7 + 0 24 + -42x = -7 Add '-24' to each side of the equation. 24 + -24 + -42x = -7 + -24 Combine like terms: 24 + -24 = 0 0 + -42x = -7 + -24 -42x = -7 + -24 Combine like terms: -7 + -24 = -31 -42x = -31 Divide each side by '-42'. x = 0.7380952381 Simplifying x = 0.7380952381
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