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Simplifying 18 + -3(x + 4) = (x + 5) + -31 Reorder the terms: 18 + -3(4 + x) = (x + 5) + -31 18 + (4 * -3 + x * -3) = (x + 5) + -31 18 + (-12 + -3x) = (x + 5) + -31 Combine like terms: 18 + -12 = 6 6 + -3x = (x + 5) + -31 Reorder the terms: 6 + -3x = (5 + x) + -31 Remove parenthesis around (5 + x) 6 + -3x = 5 + x + -31 Reorder the terms: 6 + -3x = 5 + -31 + x Combine like terms: 5 + -31 = -26 6 + -3x = -26 + x Solving 6 + -3x = -26 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -3x + -1x = -26 + x + -1x Combine like terms: -3x + -1x = -4x 6 + -4x = -26 + x + -1x Combine like terms: x + -1x = 0 6 + -4x = -26 + 0 6 + -4x = -26 Add '-6' to each side of the equation. 6 + -6 + -4x = -26 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -26 + -6 -4x = -26 + -6 Combine like terms: -26 + -6 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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