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Simplifying 4(x + -1) + -1(4x + -7) = 2(3x + -1) + -31 Reorder the terms: 4(-1 + x) + -1(4x + -7) = 2(3x + -1) + -31 (-1 * 4 + x * 4) + -1(4x + -7) = 2(3x + -1) + -31 (-4 + 4x) + -1(4x + -7) = 2(3x + -1) + -31 Reorder the terms: -4 + 4x + -1(-7 + 4x) = 2(3x + -1) + -31 -4 + 4x + (-7 * -1 + 4x * -1) = 2(3x + -1) + -31 -4 + 4x + (7 + -4x) = 2(3x + -1) + -31 Reorder the terms: -4 + 7 + 4x + -4x = 2(3x + -1) + -31 Combine like terms: -4 + 7 = 3 3 + 4x + -4x = 2(3x + -1) + -31 Combine like terms: 4x + -4x = 0 3 + 0 = 2(3x + -1) + -31 3 = 2(3x + -1) + -31 Reorder the terms: 3 = 2(-1 + 3x) + -31 3 = (-1 * 2 + 3x * 2) + -31 3 = (-2 + 6x) + -31 Reorder the terms: 3 = -2 + -31 + 6x Combine like terms: -2 + -31 = -33 3 = -33 + 6x Solving 3 = -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. 3 + -6x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -6x = -33 + 0 3 + -6x = -33 Add '-3' to each side of the equation. 3 + -3 + -6x = -33 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -33 + -3 -6x = -33 + -3 Combine like terms: -33 + -3 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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