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Simplifying (x + 4) + (2x + 5) + -2(x + -3) = 10 Reorder the terms: (4 + x) + (2x + 5) + -2(x + -3) = 10 Remove parenthesis around (4 + x) 4 + x + (2x + 5) + -2(x + -3) = 10 Reorder the terms: 4 + x + (5 + 2x) + -2(x + -3) = 10 Remove parenthesis around (5 + 2x) 4 + x + 5 + 2x + -2(x + -3) = 10 Reorder the terms: 4 + x + 5 + 2x + -2(-3 + x) = 10 4 + x + 5 + 2x + (-3 * -2 + x * -2) = 10 4 + x + 5 + 2x + (6 + -2x) = 10 Reorder the terms: 4 + 5 + 6 + x + 2x + -2x = 10 Combine like terms: 4 + 5 = 9 9 + 6 + x + 2x + -2x = 10 Combine like terms: 9 + 6 = 15 15 + x + 2x + -2x = 10 Combine like terms: x + 2x = 3x 15 + 3x + -2x = 10 Combine like terms: 3x + -2x = 1x 15 + 1x = 10 Solving 15 + 1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 10 + -15 1x = 10 + -15 Combine like terms: 10 + -15 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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