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Simplifying 3x + -5(x + -2) = 4 + -1(x + -3) Reorder the terms: 3x + -5(-2 + x) = 4 + -1(x + -3) 3x + (-2 * -5 + x * -5) = 4 + -1(x + -3) 3x + (10 + -5x) = 4 + -1(x + -3) Reorder the terms: 10 + 3x + -5x = 4 + -1(x + -3) Combine like terms: 3x + -5x = -2x 10 + -2x = 4 + -1(x + -3) Reorder the terms: 10 + -2x = 4 + -1(-3 + x) 10 + -2x = 4 + (-3 * -1 + x * -1) 10 + -2x = 4 + (3 + -1x) Combine like terms: 4 + 3 = 7 10 + -2x = 7 + -1x Solving 10 + -2x = 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. 10 + -2x + x = 7 + -1x + x Combine like terms: -2x + x = -1x 10 + -1x = 7 + -1x + x Combine like terms: -1x + x = 0 10 + -1x = 7 + 0 10 + -1x = 7 Add '-10' to each side of the equation. 10 + -10 + -1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 7 + -10 -1x = 7 + -10 Combine like terms: 7 + -10 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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