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Simplifying 5x + -3 + 3(2x + 2) = -3(x + 3) Reorder the terms: 5x + -3 + 3(2 + 2x) = -3(x + 3) 5x + -3 + (2 * 3 + 2x * 3) = -3(x + 3) 5x + -3 + (6 + 6x) = -3(x + 3) Reorder the terms: -3 + 6 + 5x + 6x = -3(x + 3) Combine like terms: -3 + 6 = 3 3 + 5x + 6x = -3(x + 3) Combine like terms: 5x + 6x = 11x 3 + 11x = -3(x + 3) Reorder the terms: 3 + 11x = -3(3 + x) 3 + 11x = (3 * -3 + x * -3) 3 + 11x = (-9 + -3x) Solving 3 + 11x = -9 + -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. 3 + 11x + 3x = -9 + -3x + 3x Combine like terms: 11x + 3x = 14x 3 + 14x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 14x = -9 + 0 3 + 14x = -9 Add '-3' to each side of the equation. 3 + -3 + 14x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = -9 + -3 14x = -9 + -3 Combine like terms: -9 + -3 = -12 14x = -12 Divide each side by '14'. x = -0.8571428571 Simplifying x = -0.8571428571
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