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Simplifying 2(x + -3) + -1(3x + -7) = 2(5x + -1) + -19 Reorder the terms: 2(-3 + x) + -1(3x + -7) = 2(5x + -1) + -19 (-3 * 2 + x * 2) + -1(3x + -7) = 2(5x + -1) + -19 (-6 + 2x) + -1(3x + -7) = 2(5x + -1) + -19 Reorder the terms: -6 + 2x + -1(-7 + 3x) = 2(5x + -1) + -19 -6 + 2x + (-7 * -1 + 3x * -1) = 2(5x + -1) + -19 -6 + 2x + (7 + -3x) = 2(5x + -1) + -19 Reorder the terms: -6 + 7 + 2x + -3x = 2(5x + -1) + -19 Combine like terms: -6 + 7 = 1 1 + 2x + -3x = 2(5x + -1) + -19 Combine like terms: 2x + -3x = -1x 1 + -1x = 2(5x + -1) + -19 Reorder the terms: 1 + -1x = 2(-1 + 5x) + -19 1 + -1x = (-1 * 2 + 5x * 2) + -19 1 + -1x = (-2 + 10x) + -19 Reorder the terms: 1 + -1x = -2 + -19 + 10x Combine like terms: -2 + -19 = -21 1 + -1x = -21 + 10x Solving 1 + -1x = -21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + -1x + -10x = -21 + 10x + -10x Combine like terms: -1x + -10x = -11x 1 + -11x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -11x = -21 + 0 1 + -11x = -21 Add '-1' to each side of the equation. 1 + -1 + -11x = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -21 + -1 -11x = -21 + -1 Combine like terms: -21 + -1 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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