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Simplifying 7x + 3x + -1(10x + -2) = 5 + x Reorder the terms: 7x + 3x + -1(-2 + 10x) = 5 + x 7x + 3x + (-2 * -1 + 10x * -1) = 5 + x 7x + 3x + (2 + -10x) = 5 + x Reorder the terms: 2 + 7x + 3x + -10x = 5 + x Combine like terms: 7x + 3x = 10x 2 + 10x + -10x = 5 + x Combine like terms: 10x + -10x = 0 2 + 0 = 5 + x 2 = 5 + x Solving 2 = 5 + x 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. 2 + -1x = 5 + x + -1x Combine like terms: x + -1x = 0 2 + -1x = 5 + 0 2 + -1x = 5 Add '-2' to each side of the equation. 2 + -2 + -1x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 5 + -2 -1x = 5 + -2 Combine like terms: 5 + -2 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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