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Simplifying 7(x + 2) + -3(x + -4) + -1x = 2(x + 5) + 46 Reorder the terms: 7(2 + x) + -3(x + -4) + -1x = 2(x + 5) + 46 (2 * 7 + x * 7) + -3(x + -4) + -1x = 2(x + 5) + 46 (14 + 7x) + -3(x + -4) + -1x = 2(x + 5) + 46 Reorder the terms: 14 + 7x + -3(-4 + x) + -1x = 2(x + 5) + 46 14 + 7x + (-4 * -3 + x * -3) + -1x = 2(x + 5) + 46 14 + 7x + (12 + -3x) + -1x = 2(x + 5) + 46 Reorder the terms: 14 + 12 + 7x + -3x + -1x = 2(x + 5) + 46 Combine like terms: 14 + 12 = 26 26 + 7x + -3x + -1x = 2(x + 5) + 46 Combine like terms: 7x + -3x = 4x 26 + 4x + -1x = 2(x + 5) + 46 Combine like terms: 4x + -1x = 3x 26 + 3x = 2(x + 5) + 46 Reorder the terms: 26 + 3x = 2(5 + x) + 46 26 + 3x = (5 * 2 + x * 2) + 46 26 + 3x = (10 + 2x) + 46 Reorder the terms: 26 + 3x = 10 + 46 + 2x Combine like terms: 10 + 46 = 56 26 + 3x = 56 + 2x Solving 26 + 3x = 56 + 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 + 3x + -2x = 56 + 2x + -2x Combine like terms: 3x + -2x = 1x 26 + 1x = 56 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + 1x = 56 + 0 26 + 1x = 56 Add '-26' to each side of the equation. 26 + -26 + 1x = 56 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 56 + -26 1x = 56 + -26 Combine like terms: 56 + -26 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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