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Simplifying -8(2x + -3) = 5(3x + 1) Reorder the terms: -8(-3 + 2x) = 5(3x + 1) (-3 * -8 + 2x * -8) = 5(3x + 1) (24 + -16x) = 5(3x + 1) Reorder the terms: 24 + -16x = 5(1 + 3x) 24 + -16x = (1 * 5 + 3x * 5) 24 + -16x = (5 + 15x) Solving 24 + -16x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + -16x + -15x = 5 + 15x + -15x Combine like terms: -16x + -15x = -31x 24 + -31x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -31x = 5 + 0 24 + -31x = 5 Add '-24' to each side of the equation. 24 + -24 + -31x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -31x = 5 + -24 -31x = 5 + -24 Combine like terms: 5 + -24 = -19 -31x = -19 Divide each side by '-31'. x = 0.6129032258 Simplifying x = 0.6129032258
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