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Simplifying 4(x + -1) + -4(4x + -7) = 2(3x + -1) + -31 Reorder the terms: 4(-1 + x) + -4(4x + -7) = 2(3x + -1) + -31 (-1 * 4 + x * 4) + -4(4x + -7) = 2(3x + -1) + -31 (-4 + 4x) + -4(4x + -7) = 2(3x + -1) + -31 Reorder the terms: -4 + 4x + -4(-7 + 4x) = 2(3x + -1) + -31 -4 + 4x + (-7 * -4 + 4x * -4) = 2(3x + -1) + -31 -4 + 4x + (28 + -16x) = 2(3x + -1) + -31 Reorder the terms: -4 + 28 + 4x + -16x = 2(3x + -1) + -31 Combine like terms: -4 + 28 = 24 24 + 4x + -16x = 2(3x + -1) + -31 Combine like terms: 4x + -16x = -12x 24 + -12x = 2(3x + -1) + -31 Reorder the terms: 24 + -12x = 2(-1 + 3x) + -31 24 + -12x = (-1 * 2 + 3x * 2) + -31 24 + -12x = (-2 + 6x) + -31 Reorder the terms: 24 + -12x = -2 + -31 + 6x Combine like terms: -2 + -31 = -33 24 + -12x = -33 + 6x Solving 24 + -12x = -33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + -12x + -6x = -33 + 6x + -6x Combine like terms: -12x + -6x = -18x 24 + -18x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -18x = -33 + 0 24 + -18x = -33 Add '-24' to each side of the equation. 24 + -24 + -18x = -33 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = -33 + -24 -18x = -33 + -24 Combine like terms: -33 + -24 = -57 -18x = -57 Divide each side by '-18'. x = 3.166666667 Simplifying x = 3.166666667
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