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Simplifying 3x + -1(x + 5) + -2(x + -3) = 7 + -1x Reorder the terms: 3x + -1(5 + x) + -2(x + -3) = 7 + -1x 3x + (5 * -1 + x * -1) + -2(x + -3) = 7 + -1x 3x + (-5 + -1x) + -2(x + -3) = 7 + -1x Reorder the terms: 3x + -5 + -1x + -2(-3 + x) = 7 + -1x 3x + -5 + -1x + (-3 * -2 + x * -2) = 7 + -1x 3x + -5 + -1x + (6 + -2x) = 7 + -1x Reorder the terms: -5 + 6 + 3x + -1x + -2x = 7 + -1x Combine like terms: -5 + 6 = 1 1 + 3x + -1x + -2x = 7 + -1x Combine like terms: 3x + -1x = 2x 1 + 2x + -2x = 7 + -1x Combine like terms: 2x + -2x = 0 1 + 0 = 7 + -1x 1 = 7 + -1x Solving 1 = 7 + -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. 1 + x = 7 + -1x + x Combine like terms: -1x + x = 0 1 + x = 7 + 0 1 + x = 7 Add '-1' to each side of the equation. 1 + -1 + x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + x = 7 + -1 x = 7 + -1 Combine like terms: 7 + -1 = 6 x = 6 Simplifying x = 6
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