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Simplifying 5(2x + 3) + -10 = 8(4x + 10) Reorder the terms: 5(3 + 2x) + -10 = 8(4x + 10) (3 * 5 + 2x * 5) + -10 = 8(4x + 10) (15 + 10x) + -10 = 8(4x + 10) Reorder the terms: 15 + -10 + 10x = 8(4x + 10) Combine like terms: 15 + -10 = 5 5 + 10x = 8(4x + 10) Reorder the terms: 5 + 10x = 8(10 + 4x) 5 + 10x = (10 * 8 + 4x * 8) 5 + 10x = (80 + 32x) Solving 5 + 10x = 80 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 5 + 10x + -32x = 80 + 32x + -32x Combine like terms: 10x + -32x = -22x 5 + -22x = 80 + 32x + -32x Combine like terms: 32x + -32x = 0 5 + -22x = 80 + 0 5 + -22x = 80 Add '-5' to each side of the equation. 5 + -5 + -22x = 80 + -5 Combine like terms: 5 + -5 = 0 0 + -22x = 80 + -5 -22x = 80 + -5 Combine like terms: 80 + -5 = 75 -22x = 75 Divide each side by '-22'. x = -3.409090909 Simplifying x = -3.409090909
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