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Simplifying 5x + 2(x + 3) = -2(x + -1) Reorder the terms: 5x + 2(3 + x) = -2(x + -1) 5x + (3 * 2 + x * 2) = -2(x + -1) 5x + (6 + 2x) = -2(x + -1) Reorder the terms: 6 + 5x + 2x = -2(x + -1) Combine like terms: 5x + 2x = 7x 6 + 7x = -2(x + -1) Reorder the terms: 6 + 7x = -2(-1 + x) 6 + 7x = (-1 * -2 + x * -2) 6 + 7x = (2 + -2x) Solving 6 + 7x = 2 + -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. 6 + 7x + 2x = 2 + -2x + 2x Combine like terms: 7x + 2x = 9x 6 + 9x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 9x = 2 + 0 6 + 9x = 2 Add '-6' to each side of the equation. 6 + -6 + 9x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 2 + -6 9x = 2 + -6 Combine like terms: 2 + -6 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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