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Simplifying 2(4 + -1x) + -1(3x + 2) = 7 + 7(x + -7) (4 * 2 + -1x * 2) + -1(3x + 2) = 7 + 7(x + -7) (8 + -2x) + -1(3x + 2) = 7 + 7(x + -7) Reorder the terms: 8 + -2x + -1(2 + 3x) = 7 + 7(x + -7) 8 + -2x + (2 * -1 + 3x * -1) = 7 + 7(x + -7) 8 + -2x + (-2 + -3x) = 7 + 7(x + -7) Reorder the terms: 8 + -2 + -2x + -3x = 7 + 7(x + -7) Combine like terms: 8 + -2 = 6 6 + -2x + -3x = 7 + 7(x + -7) Combine like terms: -2x + -3x = -5x 6 + -5x = 7 + 7(x + -7) Reorder the terms: 6 + -5x = 7 + 7(-7 + x) 6 + -5x = 7 + (-7 * 7 + x * 7) 6 + -5x = 7 + (-49 + 7x) Combine like terms: 7 + -49 = -42 6 + -5x = -42 + 7x Solving 6 + -5x = -42 + 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. 6 + -5x + -7x = -42 + 7x + -7x Combine like terms: -5x + -7x = -12x 6 + -12x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -12x = -42 + 0 6 + -12x = -42 Add '-6' to each side of the equation. 6 + -6 + -12x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -42 + -6 -12x = -42 + -6 Combine like terms: -42 + -6 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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