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Simplifying 7(2x + -3) + -1(7x + 5) = 3(x + 10) + -1(x + -4) Reorder the terms: 7(-3 + 2x) + -1(7x + 5) = 3(x + 10) + -1(x + -4) (-3 * 7 + 2x * 7) + -1(7x + 5) = 3(x + 10) + -1(x + -4) (-21 + 14x) + -1(7x + 5) = 3(x + 10) + -1(x + -4) Reorder the terms: -21 + 14x + -1(5 + 7x) = 3(x + 10) + -1(x + -4) -21 + 14x + (5 * -1 + 7x * -1) = 3(x + 10) + -1(x + -4) -21 + 14x + (-5 + -7x) = 3(x + 10) + -1(x + -4) Reorder the terms: -21 + -5 + 14x + -7x = 3(x + 10) + -1(x + -4) Combine like terms: -21 + -5 = -26 -26 + 14x + -7x = 3(x + 10) + -1(x + -4) Combine like terms: 14x + -7x = 7x -26 + 7x = 3(x + 10) + -1(x + -4) Reorder the terms: -26 + 7x = 3(10 + x) + -1(x + -4) -26 + 7x = (10 * 3 + x * 3) + -1(x + -4) -26 + 7x = (30 + 3x) + -1(x + -4) Reorder the terms: -26 + 7x = 30 + 3x + -1(-4 + x) -26 + 7x = 30 + 3x + (-4 * -1 + x * -1) -26 + 7x = 30 + 3x + (4 + -1x) Reorder the terms: -26 + 7x = 30 + 4 + 3x + -1x Combine like terms: 30 + 4 = 34 -26 + 7x = 34 + 3x + -1x Combine like terms: 3x + -1x = 2x -26 + 7x = 34 + 2x Solving -26 + 7x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -26 + 7x + -2x = 34 + 2x + -2x Combine like terms: 7x + -2x = 5x -26 + 5x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 5x = 34 + 0 -26 + 5x = 34 Add '26' to each side of the equation. -26 + 26 + 5x = 34 + 26 Combine like terms: -26 + 26 = 0 0 + 5x = 34 + 26 5x = 34 + 26 Combine like terms: 34 + 26 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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