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Simplifying 5 + 2x = 6(x + 1) + -5(x + -3) Reorder the terms: 5 + 2x = 6(1 + x) + -5(x + -3) 5 + 2x = (1 * 6 + x * 6) + -5(x + -3) 5 + 2x = (6 + 6x) + -5(x + -3) Reorder the terms: 5 + 2x = 6 + 6x + -5(-3 + x) 5 + 2x = 6 + 6x + (-3 * -5 + x * -5) 5 + 2x = 6 + 6x + (15 + -5x) Reorder the terms: 5 + 2x = 6 + 15 + 6x + -5x Combine like terms: 6 + 15 = 21 5 + 2x = 21 + 6x + -5x Combine like terms: 6x + -5x = 1x 5 + 2x = 21 + 1x Solving 5 + 2x = 21 + 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 = 21 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 21 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 21 + 0 5 + 1x = 21 Add '-5' to each side of the equation. 5 + -5 + 1x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 21 + -5 1x = 21 + -5 Combine like terms: 21 + -5 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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