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Simplifying 7 + -1(x + -3) = 2x + -5(3x + -2) Reorder the terms: 7 + -1(-3 + x) = 2x + -5(3x + -2) 7 + (-3 * -1 + x * -1) = 2x + -5(3x + -2) 7 + (3 + -1x) = 2x + -5(3x + -2) Combine like terms: 7 + 3 = 10 10 + -1x = 2x + -5(3x + -2) Reorder the terms: 10 + -1x = 2x + -5(-2 + 3x) 10 + -1x = 2x + (-2 * -5 + 3x * -5) 10 + -1x = 2x + (10 + -15x) Reorder the terms: 10 + -1x = 10 + 2x + -15x Combine like terms: 2x + -15x = -13x 10 + -1x = 10 + -13x Add '-10' to each side of the equation. 10 + -10 + -1x = 10 + -10 + -13x Combine like terms: 10 + -10 = 0 0 + -1x = 10 + -10 + -13x -1x = 10 + -10 + -13x Combine like terms: 10 + -10 = 0 -1x = 0 + -13x -1x = -13x Solving -1x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -1x + 13x = -13x + 13x Combine like terms: -1x + 13x = 12x 12x = -13x + 13x Combine like terms: -13x + 13x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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