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Simplifying 2(x + 5) + x = 2(x + 3) + 7(x + -2) Reorder the terms: 2(5 + x) + x = 2(x + 3) + 7(x + -2) (5 * 2 + x * 2) + x = 2(x + 3) + 7(x + -2) (10 + 2x) + x = 2(x + 3) + 7(x + -2) Combine like terms: 2x + x = 3x 10 + 3x = 2(x + 3) + 7(x + -2) Reorder the terms: 10 + 3x = 2(3 + x) + 7(x + -2) 10 + 3x = (3 * 2 + x * 2) + 7(x + -2) 10 + 3x = (6 + 2x) + 7(x + -2) Reorder the terms: 10 + 3x = 6 + 2x + 7(-2 + x) 10 + 3x = 6 + 2x + (-2 * 7 + x * 7) 10 + 3x = 6 + 2x + (-14 + 7x) Reorder the terms: 10 + 3x = 6 + -14 + 2x + 7x Combine like terms: 6 + -14 = -8 10 + 3x = -8 + 2x + 7x Combine like terms: 2x + 7x = 9x 10 + 3x = -8 + 9x Solving 10 + 3x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 3x + -9x = -8 + 9x + -9x Combine like terms: 3x + -9x = -6x 10 + -6x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -6x = -8 + 0 10 + -6x = -8 Add '-10' to each side of the equation. 10 + -10 + -6x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -8 + -10 -6x = -8 + -10 Combine like terms: -8 + -10 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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