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Simplifying 6 + 2x = 6(x + 3) + -5(x + -2) Reorder the terms: 6 + 2x = 6(3 + x) + -5(x + -2) 6 + 2x = (3 * 6 + x * 6) + -5(x + -2) 6 + 2x = (18 + 6x) + -5(x + -2) Reorder the terms: 6 + 2x = 18 + 6x + -5(-2 + x) 6 + 2x = 18 + 6x + (-2 * -5 + x * -5) 6 + 2x = 18 + 6x + (10 + -5x) Reorder the terms: 6 + 2x = 18 + 10 + 6x + -5x Combine like terms: 18 + 10 = 28 6 + 2x = 28 + 6x + -5x Combine like terms: 6x + -5x = 1x 6 + 2x = 28 + 1x Solving 6 + 2x = 28 + 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. 6 + 2x + -1x = 28 + 1x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 28 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 1x = 28 + 0 6 + 1x = 28 Add '-6' to each side of the equation. 6 + -6 + 1x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 28 + -6 1x = 28 + -6 Combine like terms: 28 + -6 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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