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Simplifying (7x + -4) + -4(2x + -6) = 3x + 31 Reorder the terms: (-4 + 7x) + -4(2x + -6) = 3x + 31 Remove parenthesis around (-4 + 7x) -4 + 7x + -4(2x + -6) = 3x + 31 Reorder the terms: -4 + 7x + -4(-6 + 2x) = 3x + 31 -4 + 7x + (-6 * -4 + 2x * -4) = 3x + 31 -4 + 7x + (24 + -8x) = 3x + 31 Reorder the terms: -4 + 24 + 7x + -8x = 3x + 31 Combine like terms: -4 + 24 = 20 20 + 7x + -8x = 3x + 31 Combine like terms: 7x + -8x = -1x 20 + -1x = 3x + 31 Reorder the terms: 20 + -1x = 31 + 3x Solving 20 + -1x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + -1x + -3x = 31 + 3x + -3x Combine like terms: -1x + -3x = -4x 20 + -4x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -4x = 31 + 0 20 + -4x = 31 Add '-20' to each side of the equation. 20 + -20 + -4x = 31 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 31 + -20 -4x = 31 + -20 Combine like terms: 31 + -20 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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