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Simplifying 2(x + 4) + -5 = 7x + -2(x + 9) Reorder the terms: 2(4 + x) + -5 = 7x + -2(x + 9) (4 * 2 + x * 2) + -5 = 7x + -2(x + 9) (8 + 2x) + -5 = 7x + -2(x + 9) Reorder the terms: 8 + -5 + 2x = 7x + -2(x + 9) Combine like terms: 8 + -5 = 3 3 + 2x = 7x + -2(x + 9) Reorder the terms: 3 + 2x = 7x + -2(9 + x) 3 + 2x = 7x + (9 * -2 + x * -2) 3 + 2x = 7x + (-18 + -2x) Reorder the terms: 3 + 2x = -18 + 7x + -2x Combine like terms: 7x + -2x = 5x 3 + 2x = -18 + 5x Solving 3 + 2x = -18 + 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. 3 + 2x + -5x = -18 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = -18 + 0 3 + -3x = -18 Add '-3' to each side of the equation. 3 + -3 + -3x = -18 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -18 + -3 -3x = -18 + -3 Combine like terms: -18 + -3 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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