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Simplifying 3(4 + -1x) + -7(x + -2) = 9x + 7 (4 * 3 + -1x * 3) + -7(x + -2) = 9x + 7 (12 + -3x) + -7(x + -2) = 9x + 7 Reorder the terms: 12 + -3x + -7(-2 + x) = 9x + 7 12 + -3x + (-2 * -7 + x * -7) = 9x + 7 12 + -3x + (14 + -7x) = 9x + 7 Reorder the terms: 12 + 14 + -3x + -7x = 9x + 7 Combine like terms: 12 + 14 = 26 26 + -3x + -7x = 9x + 7 Combine like terms: -3x + -7x = -10x 26 + -10x = 9x + 7 Reorder the terms: 26 + -10x = 7 + 9x Solving 26 + -10x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 26 + -10x + -9x = 7 + 9x + -9x Combine like terms: -10x + -9x = -19x 26 + -19x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 26 + -19x = 7 + 0 26 + -19x = 7 Add '-26' to each side of the equation. 26 + -26 + -19x = 7 + -26 Combine like terms: 26 + -26 = 0 0 + -19x = 7 + -26 -19x = 7 + -26 Combine like terms: 7 + -26 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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