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Simplifying 5(2x + 3) + 8(3x + 4) = 10(x + -1) Reorder the terms: 5(3 + 2x) + 8(3x + 4) = 10(x + -1) (3 * 5 + 2x * 5) + 8(3x + 4) = 10(x + -1) (15 + 10x) + 8(3x + 4) = 10(x + -1) Reorder the terms: 15 + 10x + 8(4 + 3x) = 10(x + -1) 15 + 10x + (4 * 8 + 3x * 8) = 10(x + -1) 15 + 10x + (32 + 24x) = 10(x + -1) Reorder the terms: 15 + 32 + 10x + 24x = 10(x + -1) Combine like terms: 15 + 32 = 47 47 + 10x + 24x = 10(x + -1) Combine like terms: 10x + 24x = 34x 47 + 34x = 10(x + -1) Reorder the terms: 47 + 34x = 10(-1 + x) 47 + 34x = (-1 * 10 + x * 10) 47 + 34x = (-10 + 10x) Solving 47 + 34x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 47 + 34x + -10x = -10 + 10x + -10x Combine like terms: 34x + -10x = 24x 47 + 24x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 47 + 24x = -10 + 0 47 + 24x = -10 Add '-47' to each side of the equation. 47 + -47 + 24x = -10 + -47 Combine like terms: 47 + -47 = 0 0 + 24x = -10 + -47 24x = -10 + -47 Combine like terms: -10 + -47 = -57 24x = -57 Divide each side by '24'. x = -2.375 Simplifying x = -2.375
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