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Simplifying 15x + 3(5x + -10) = 10x + -45 + 5x Reorder the terms: 15x + 3(-10 + 5x) = 10x + -45 + 5x 15x + (-10 * 3 + 5x * 3) = 10x + -45 + 5x 15x + (-30 + 15x) = 10x + -45 + 5x Reorder the terms: -30 + 15x + 15x = 10x + -45 + 5x Combine like terms: 15x + 15x = 30x -30 + 30x = 10x + -45 + 5x Reorder the terms: -30 + 30x = -45 + 10x + 5x Combine like terms: 10x + 5x = 15x -30 + 30x = -45 + 15x Solving -30 + 30x = -45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -30 + 30x + -15x = -45 + 15x + -15x Combine like terms: 30x + -15x = 15x -30 + 15x = -45 + 15x + -15x Combine like terms: 15x + -15x = 0 -30 + 15x = -45 + 0 -30 + 15x = -45 Add '30' to each side of the equation. -30 + 30 + 15x = -45 + 30 Combine like terms: -30 + 30 = 0 0 + 15x = -45 + 30 15x = -45 + 30 Combine like terms: -45 + 30 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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