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Simplifying x + -3(3x + -5) = 5x + 2(x + 15) Reorder the terms: x + -3(-5 + 3x) = 5x + 2(x + 15) x + (-5 * -3 + 3x * -3) = 5x + 2(x + 15) x + (15 + -9x) = 5x + 2(x + 15) Reorder the terms: 15 + x + -9x = 5x + 2(x + 15) Combine like terms: x + -9x = -8x 15 + -8x = 5x + 2(x + 15) Reorder the terms: 15 + -8x = 5x + 2(15 + x) 15 + -8x = 5x + (15 * 2 + x * 2) 15 + -8x = 5x + (30 + 2x) Reorder the terms: 15 + -8x = 30 + 5x + 2x Combine like terms: 5x + 2x = 7x 15 + -8x = 30 + 7x Solving 15 + -8x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -8x + -7x = 30 + 7x + -7x Combine like terms: -8x + -7x = -15x 15 + -15x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -15x = 30 + 0 15 + -15x = 30 Add '-15' to each side of the equation. 15 + -15 + -15x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = 30 + -15 -15x = 30 + -15 Combine like terms: 30 + -15 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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