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Simplifying (x + -3) + -5(x + 7) = 10(x + 3) + -1(7x + 5) Reorder the terms: (-3 + x) + -5(x + 7) = 10(x + 3) + -1(7x + 5) Remove parenthesis around (-3 + x) -3 + x + -5(x + 7) = 10(x + 3) + -1(7x + 5) Reorder the terms: -3 + x + -5(7 + x) = 10(x + 3) + -1(7x + 5) -3 + x + (7 * -5 + x * -5) = 10(x + 3) + -1(7x + 5) -3 + x + (-35 + -5x) = 10(x + 3) + -1(7x + 5) Reorder the terms: -3 + -35 + x + -5x = 10(x + 3) + -1(7x + 5) Combine like terms: -3 + -35 = -38 -38 + x + -5x = 10(x + 3) + -1(7x + 5) Combine like terms: x + -5x = -4x -38 + -4x = 10(x + 3) + -1(7x + 5) Reorder the terms: -38 + -4x = 10(3 + x) + -1(7x + 5) -38 + -4x = (3 * 10 + x * 10) + -1(7x + 5) -38 + -4x = (30 + 10x) + -1(7x + 5) Reorder the terms: -38 + -4x = 30 + 10x + -1(5 + 7x) -38 + -4x = 30 + 10x + (5 * -1 + 7x * -1) -38 + -4x = 30 + 10x + (-5 + -7x) Reorder the terms: -38 + -4x = 30 + -5 + 10x + -7x Combine like terms: 30 + -5 = 25 -38 + -4x = 25 + 10x + -7x Combine like terms: 10x + -7x = 3x -38 + -4x = 25 + 3x Solving -38 + -4x = 25 + 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. -38 + -4x + -3x = 25 + 3x + -3x Combine like terms: -4x + -3x = -7x -38 + -7x = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + -7x = 25 + 0 -38 + -7x = 25 Add '38' to each side of the equation. -38 + 38 + -7x = 25 + 38 Combine like terms: -38 + 38 = 0 0 + -7x = 25 + 38 -7x = 25 + 38 Combine like terms: 25 + 38 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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