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Simplifying 2x + 7 + x + -5 = 10 + -1(2x + -12) Reorder the terms: 7 + -5 + 2x + x = 10 + -1(2x + -12) Combine like terms: 7 + -5 = 2 2 + 2x + x = 10 + -1(2x + -12) Combine like terms: 2x + x = 3x 2 + 3x = 10 + -1(2x + -12) Reorder the terms: 2 + 3x = 10 + -1(-12 + 2x) 2 + 3x = 10 + (-12 * -1 + 2x * -1) 2 + 3x = 10 + (12 + -2x) Combine like terms: 10 + 12 = 22 2 + 3x = 22 + -2x Solving 2 + 3x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 3x + 2x = 22 + -2x + 2x Combine like terms: 3x + 2x = 5x 2 + 5x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 5x = 22 + 0 2 + 5x = 22 Add '-2' to each side of the equation. 2 + -2 + 5x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 22 + -2 5x = 22 + -2 Combine like terms: 22 + -2 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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