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