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Simplifying -1(-1x + -7) + 4(7 + -1x) = 6(x + -2) + -3(3 + -1x) Reorder the terms: -1(-7 + -1x) + 4(7 + -1x) = 6(x + -2) + -3(3 + -1x) (-7 * -1 + -1x * -1) + 4(7 + -1x) = 6(x + -2) + -3(3 + -1x) (7 + 1x) + 4(7 + -1x) = 6(x + -2) + -3(3 + -1x) 7 + 1x + (7 * 4 + -1x * 4) = 6(x + -2) + -3(3 + -1x) 7 + 1x + (28 + -4x) = 6(x + -2) + -3(3 + -1x) Reorder the terms: 7 + 28 + 1x + -4x = 6(x + -2) + -3(3 + -1x) Combine like terms: 7 + 28 = 35 35 + 1x + -4x = 6(x + -2) + -3(3 + -1x) Combine like terms: 1x + -4x = -3x 35 + -3x = 6(x + -2) + -3(3 + -1x) Reorder the terms: 35 + -3x = 6(-2 + x) + -3(3 + -1x) 35 + -3x = (-2 * 6 + x * 6) + -3(3 + -1x) 35 + -3x = (-12 + 6x) + -3(3 + -1x) 35 + -3x = -12 + 6x + (3 * -3 + -1x * -3) 35 + -3x = -12 + 6x + (-9 + 3x) Reorder the terms: 35 + -3x = -12 + -9 + 6x + 3x Combine like terms: -12 + -9 = -21 35 + -3x = -21 + 6x + 3x Combine like terms: 6x + 3x = 9x 35 + -3x = -21 + 9x Solving 35 + -3x = -21 + 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. 35 + -3x + -9x = -21 + 9x + -9x Combine like terms: -3x + -9x = -12x 35 + -12x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -12x = -21 + 0 35 + -12x = -21 Add '-35' to each side of the equation. 35 + -35 + -12x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -12x = -21 + -35 -12x = -21 + -35 Combine like terms: -21 + -35 = -56 -12x = -56 Divide each side by '-12'. x = 4.666666667 Simplifying x = 4.666666667
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