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Simplifying 15x + -5 + (2x + -2) = 3(3x + -5) Reorder the terms: 15x + -5 + (-2 + 2x) = 3(3x + -5) Remove parenthesis around (-2 + 2x) 15x + -5 + -2 + 2x = 3(3x + -5) Reorder the terms: -5 + -2 + 15x + 2x = 3(3x + -5) Combine like terms: -5 + -2 = -7 -7 + 15x + 2x = 3(3x + -5) Combine like terms: 15x + 2x = 17x -7 + 17x = 3(3x + -5) Reorder the terms: -7 + 17x = 3(-5 + 3x) -7 + 17x = (-5 * 3 + 3x * 3) -7 + 17x = (-15 + 9x) Solving -7 + 17x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 17x + -9x = -15 + 9x + -9x Combine like terms: 17x + -9x = 8x -7 + 8x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + 8x = -15 + 0 -7 + 8x = -15 Add '7' to each side of the equation. -7 + 7 + 8x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -15 + 7 8x = -15 + 7 Combine like terms: -15 + 7 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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