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Simplifying 5 + 2x = 7(x + 2) + -6(x + -2) Reorder the terms: 5 + 2x = 7(2 + x) + -6(x + -2) 5 + 2x = (2 * 7 + x * 7) + -6(x + -2) 5 + 2x = (14 + 7x) + -6(x + -2) Reorder the terms: 5 + 2x = 14 + 7x + -6(-2 + x) 5 + 2x = 14 + 7x + (-2 * -6 + x * -6) 5 + 2x = 14 + 7x + (12 + -6x) Reorder the terms: 5 + 2x = 14 + 12 + 7x + -6x Combine like terms: 14 + 12 = 26 5 + 2x = 26 + 7x + -6x Combine like terms: 7x + -6x = 1x 5 + 2x = 26 + 1x Solving 5 + 2x = 26 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = 26 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 26 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 26 + 0 5 + 1x = 26 Add '-5' to each side of the equation. 5 + -5 + 1x = 26 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 26 + -5 1x = 26 + -5 Combine like terms: 26 + -5 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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