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