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Simplifying 5x + -1(x + -3) = 2x + -1(-7 + x) Reorder the terms: 5x + -1(-3 + x) = 2x + -1(-7 + x) 5x + (-3 * -1 + x * -1) = 2x + -1(-7 + x) 5x + (3 + -1x) = 2x + -1(-7 + x) Reorder the terms: 3 + 5x + -1x = 2x + -1(-7 + x) Combine like terms: 5x + -1x = 4x 3 + 4x = 2x + -1(-7 + x) 3 + 4x = 2x + (-7 * -1 + x * -1) 3 + 4x = 2x + (7 + -1x) Reorder the terms: 3 + 4x = 7 + 2x + -1x Combine like terms: 2x + -1x = 1x 3 + 4x = 7 + 1x Solving 3 + 4x = 7 + 1x 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. 3 + 4x + -1x = 7 + 1x + -1x Combine like terms: 4x + -1x = 3x 3 + 3x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 3x = 7 + 0 3 + 3x = 7 Add '-3' to each side of the equation. 3 + -3 + 3x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 7 + -3 3x = 7 + -3 Combine like terms: 7 + -3 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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