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Simplifying 2(x + -3) + -3(x + -1) = 5(x + -3) + -1(-1x + 7) Reorder the terms: 2(-3 + x) + -3(x + -1) = 5(x + -3) + -1(-1x + 7) (-3 * 2 + x * 2) + -3(x + -1) = 5(x + -3) + -1(-1x + 7) (-6 + 2x) + -3(x + -1) = 5(x + -3) + -1(-1x + 7) Reorder the terms: -6 + 2x + -3(-1 + x) = 5(x + -3) + -1(-1x + 7) -6 + 2x + (-1 * -3 + x * -3) = 5(x + -3) + -1(-1x + 7) -6 + 2x + (3 + -3x) = 5(x + -3) + -1(-1x + 7) Reorder the terms: -6 + 3 + 2x + -3x = 5(x + -3) + -1(-1x + 7) Combine like terms: -6 + 3 = -3 -3 + 2x + -3x = 5(x + -3) + -1(-1x + 7) Combine like terms: 2x + -3x = -1x -3 + -1x = 5(x + -3) + -1(-1x + 7) Reorder the terms: -3 + -1x = 5(-3 + x) + -1(-1x + 7) -3 + -1x = (-3 * 5 + x * 5) + -1(-1x + 7) -3 + -1x = (-15 + 5x) + -1(-1x + 7) Reorder the terms: -3 + -1x = -15 + 5x + -1(7 + -1x) -3 + -1x = -15 + 5x + (7 * -1 + -1x * -1) -3 + -1x = -15 + 5x + (-7 + 1x) Reorder the terms: -3 + -1x = -15 + -7 + 5x + 1x Combine like terms: -15 + -7 = -22 -3 + -1x = -22 + 5x + 1x Combine like terms: 5x + 1x = 6x -3 + -1x = -22 + 6x Solving -3 + -1x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -1x + -6x = -22 + 6x + -6x Combine like terms: -1x + -6x = -7x -3 + -7x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -7x = -22 + 0 -3 + -7x = -22 Add '3' to each side of the equation. -3 + 3 + -7x = -22 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -22 + 3 -7x = -22 + 3 Combine like terms: -22 + 3 = -19 -7x = -19 Divide each side by '-7'. x = 2.714285714 Simplifying x = 2.714285714
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