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Simplifying 3 + -3(5x + 8) = 2(8x + 5) Reorder the terms: 3 + -3(8 + 5x) = 2(8x + 5) 3 + (8 * -3 + 5x * -3) = 2(8x + 5) 3 + (-24 + -15x) = 2(8x + 5) Combine like terms: 3 + -24 = -21 -21 + -15x = 2(8x + 5) Reorder the terms: -21 + -15x = 2(5 + 8x) -21 + -15x = (5 * 2 + 8x * 2) -21 + -15x = (10 + 16x) Solving -21 + -15x = 10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -21 + -15x + -16x = 10 + 16x + -16x Combine like terms: -15x + -16x = -31x -21 + -31x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 -21 + -31x = 10 + 0 -21 + -31x = 10 Add '21' to each side of the equation. -21 + 21 + -31x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -31x = 10 + 21 -31x = 10 + 21 Combine like terms: 10 + 21 = 31 -31x = 31 Divide each side by '-31'. x = -1 Simplifying x = -1
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