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Simplifying 18 + -1(3x + 5) = (x + -1) + -6 Reorder the terms: 18 + -1(5 + 3x) = (x + -1) + -6 18 + (5 * -1 + 3x * -1) = (x + -1) + -6 18 + (-5 + -3x) = (x + -1) + -6 Combine like terms: 18 + -5 = 13 13 + -3x = (x + -1) + -6 Reorder the terms: 13 + -3x = (-1 + x) + -6 Remove parenthesis around (-1 + x) 13 + -3x = -1 + x + -6 Reorder the terms: 13 + -3x = -1 + -6 + x Combine like terms: -1 + -6 = -7 13 + -3x = -7 + x Solving 13 + -3x = -7 + 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. 13 + -3x + -1x = -7 + x + -1x Combine like terms: -3x + -1x = -4x 13 + -4x = -7 + x + -1x Combine like terms: x + -1x = 0 13 + -4x = -7 + 0 13 + -4x = -7 Add '-13' to each side of the equation. 13 + -13 + -4x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -7 + -13 -4x = -7 + -13 Combine like terms: -7 + -13 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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