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Simplifying 10 + -1(4x + -7) = 7 + -5x Reorder the terms: 10 + -1(-7 + 4x) = 7 + -5x 10 + (-7 * -1 + 4x * -1) = 7 + -5x 10 + (7 + -4x) = 7 + -5x Combine like terms: 10 + 7 = 17 17 + -4x = 7 + -5x Solving 17 + -4x = 7 + -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. 17 + -4x + 5x = 7 + -5x + 5x Combine like terms: -4x + 5x = 1x 17 + 1x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 1x = 7 + 0 17 + 1x = 7 Add '-17' to each side of the equation. 17 + -17 + 1x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 7 + -17 1x = 7 + -17 Combine like terms: 7 + -17 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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