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Simplifying 10(x + 4) + -1 = 3(2x + 5) Reorder the terms: 10(4 + x) + -1 = 3(2x + 5) (4 * 10 + x * 10) + -1 = 3(2x + 5) (40 + 10x) + -1 = 3(2x + 5) Reorder the terms: 40 + -1 + 10x = 3(2x + 5) Combine like terms: 40 + -1 = 39 39 + 10x = 3(2x + 5) Reorder the terms: 39 + 10x = 3(5 + 2x) 39 + 10x = (5 * 3 + 2x * 3) 39 + 10x = (15 + 6x) Solving 39 + 10x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 39 + 10x + -6x = 15 + 6x + -6x Combine like terms: 10x + -6x = 4x 39 + 4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 39 + 4x = 15 + 0 39 + 4x = 15 Add '-39' to each side of the equation. 39 + -39 + 4x = 15 + -39 Combine like terms: 39 + -39 = 0 0 + 4x = 15 + -39 4x = 15 + -39 Combine like terms: 15 + -39 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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