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Simplifying x + 3(x + -3) = 2(x + -5) + -3 Reorder the terms: x + 3(-3 + x) = 2(x + -5) + -3 x + (-3 * 3 + x * 3) = 2(x + -5) + -3 x + (-9 + 3x) = 2(x + -5) + -3 Reorder the terms: -9 + x + 3x = 2(x + -5) + -3 Combine like terms: x + 3x = 4x -9 + 4x = 2(x + -5) + -3 Reorder the terms: -9 + 4x = 2(-5 + x) + -3 -9 + 4x = (-5 * 2 + x * 2) + -3 -9 + 4x = (-10 + 2x) + -3 Reorder the terms: -9 + 4x = -10 + -3 + 2x Combine like terms: -10 + -3 = -13 -9 + 4x = -13 + 2x Solving -9 + 4x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 4x + -2x = -13 + 2x + -2x Combine like terms: 4x + -2x = 2x -9 + 2x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 2x = -13 + 0 -9 + 2x = -13 Add '9' to each side of the equation. -9 + 9 + 2x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -13 + 9 2x = -13 + 9 Combine like terms: -13 + 9 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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