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Simplifying 2x + -1(5x + -3) = 5(x + -3) + -2(x + -3) Reorder the terms: 2x + -1(-3 + 5x) = 5(x + -3) + -2(x + -3) 2x + (-3 * -1 + 5x * -1) = 5(x + -3) + -2(x + -3) 2x + (3 + -5x) = 5(x + -3) + -2(x + -3) Reorder the terms: 3 + 2x + -5x = 5(x + -3) + -2(x + -3) Combine like terms: 2x + -5x = -3x 3 + -3x = 5(x + -3) + -2(x + -3) Reorder the terms: 3 + -3x = 5(-3 + x) + -2(x + -3) 3 + -3x = (-3 * 5 + x * 5) + -2(x + -3) 3 + -3x = (-15 + 5x) + -2(x + -3) Reorder the terms: 3 + -3x = -15 + 5x + -2(-3 + x) 3 + -3x = -15 + 5x + (-3 * -2 + x * -2) 3 + -3x = -15 + 5x + (6 + -2x) Reorder the terms: 3 + -3x = -15 + 6 + 5x + -2x Combine like terms: -15 + 6 = -9 3 + -3x = -9 + 5x + -2x Combine like terms: 5x + -2x = 3x 3 + -3x = -9 + 3x Solving 3 + -3x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -3x + -3x = -9 + 3x + -3x Combine like terms: -3x + -3x = -6x 3 + -6x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -6x = -9 + 0 3 + -6x = -9 Add '-3' to each side of the equation. 3 + -3 + -6x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -9 + -3 -6x = -9 + -3 Combine like terms: -9 + -3 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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