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