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Simplifying 2(x + 4) + -3(3x + 1) + 10 = 10x + 4 + -3x + -17 Reorder the terms: 2(4 + x) + -3(3x + 1) + 10 = 10x + 4 + -3x + -17 (4 * 2 + x * 2) + -3(3x + 1) + 10 = 10x + 4 + -3x + -17 (8 + 2x) + -3(3x + 1) + 10 = 10x + 4 + -3x + -17 Reorder the terms: 8 + 2x + -3(1 + 3x) + 10 = 10x + 4 + -3x + -17 8 + 2x + (1 * -3 + 3x * -3) + 10 = 10x + 4 + -3x + -17 8 + 2x + (-3 + -9x) + 10 = 10x + 4 + -3x + -17 Reorder the terms: 8 + -3 + 10 + 2x + -9x = 10x + 4 + -3x + -17 Combine like terms: 8 + -3 = 5 5 + 10 + 2x + -9x = 10x + 4 + -3x + -17 Combine like terms: 5 + 10 = 15 15 + 2x + -9x = 10x + 4 + -3x + -17 Combine like terms: 2x + -9x = -7x 15 + -7x = 10x + 4 + -3x + -17 Reorder the terms: 15 + -7x = 4 + -17 + 10x + -3x Combine like terms: 4 + -17 = -13 15 + -7x = -13 + 10x + -3x Combine like terms: 10x + -3x = 7x 15 + -7x = -13 + 7x Solving 15 + -7x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -7x + -7x = -13 + 7x + -7x Combine like terms: -7x + -7x = -14x 15 + -14x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -14x = -13 + 0 15 + -14x = -13 Add '-15' to each side of the equation. 15 + -15 + -14x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = -13 + -15 -14x = -13 + -15 Combine like terms: -13 + -15 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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