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Simplifying 2(x + 3) + -7 = 18 + -5(x + 4) Reorder the terms: 2(3 + x) + -7 = 18 + -5(x + 4) (3 * 2 + x * 2) + -7 = 18 + -5(x + 4) (6 + 2x) + -7 = 18 + -5(x + 4) Reorder the terms: 6 + -7 + 2x = 18 + -5(x + 4) Combine like terms: 6 + -7 = -1 -1 + 2x = 18 + -5(x + 4) Reorder the terms: -1 + 2x = 18 + -5(4 + x) -1 + 2x = 18 + (4 * -5 + x * -5) -1 + 2x = 18 + (-20 + -5x) Combine like terms: 18 + -20 = -2 -1 + 2x = -2 + -5x Solving -1 + 2x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1 + 2x + 5x = -2 + -5x + 5x Combine like terms: 2x + 5x = 7x -1 + 7x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 7x = -2 + 0 -1 + 7x = -2 Add '1' to each side of the equation. -1 + 1 + 7x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = -2 + 1 7x = -2 + 1 Combine like terms: -2 + 1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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