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Simplifying 15x + (x + 2) = 10 + 6x + (-1x + 3) Reorder the terms: 15x + (2 + x) = 10 + 6x + (-1x + 3) Remove parenthesis around (2 + x) 15x + 2 + x = 10 + 6x + (-1x + 3) Reorder the terms: 2 + 15x + x = 10 + 6x + (-1x + 3) Combine like terms: 15x + x = 16x 2 + 16x = 10 + 6x + (-1x + 3) Reorder the terms: 2 + 16x = 10 + 6x + (3 + -1x) Remove parenthesis around (3 + -1x) 2 + 16x = 10 + 6x + 3 + -1x Reorder the terms: 2 + 16x = 10 + 3 + 6x + -1x Combine like terms: 10 + 3 = 13 2 + 16x = 13 + 6x + -1x Combine like terms: 6x + -1x = 5x 2 + 16x = 13 + 5x Solving 2 + 16x = 13 + 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. 2 + 16x + -5x = 13 + 5x + -5x Combine like terms: 16x + -5x = 11x 2 + 11x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 11x = 13 + 0 2 + 11x = 13 Add '-2' to each side of the equation. 2 + -2 + 11x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 13 + -2 11x = 13 + -2 Combine like terms: 13 + -2 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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