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Simplifying (x + -3) + 4(x + 3) = 3(x + -1) Reorder the terms: (-3 + x) + 4(x + 3) = 3(x + -1) Remove parenthesis around (-3 + x) -3 + x + 4(x + 3) = 3(x + -1) Reorder the terms: -3 + x + 4(3 + x) = 3(x + -1) -3 + x + (3 * 4 + x * 4) = 3(x + -1) -3 + x + (12 + 4x) = 3(x + -1) Reorder the terms: -3 + 12 + x + 4x = 3(x + -1) Combine like terms: -3 + 12 = 9 9 + x + 4x = 3(x + -1) Combine like terms: x + 4x = 5x 9 + 5x = 3(x + -1) Reorder the terms: 9 + 5x = 3(-1 + x) 9 + 5x = (-1 * 3 + x * 3) 9 + 5x = (-3 + 3x) Solving 9 + 5x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 5x + -3x = -3 + 3x + -3x Combine like terms: 5x + -3x = 2x 9 + 2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 2x = -3 + 0 9 + 2x = -3 Add '-9' to each side of the equation. 9 + -9 + 2x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -3 + -9 2x = -3 + -9 Combine like terms: -3 + -9 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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