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