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Simplifying 18 + -5(x + -1) = (3x + 5) + -6 Reorder the terms: 18 + -5(-1 + x) = (3x + 5) + -6 18 + (-1 * -5 + x * -5) = (3x + 5) + -6 18 + (5 + -5x) = (3x + 5) + -6 Combine like terms: 18 + 5 = 23 23 + -5x = (3x + 5) + -6 Reorder the terms: 23 + -5x = (5 + 3x) + -6 Remove parenthesis around (5 + 3x) 23 + -5x = 5 + 3x + -6 Reorder the terms: 23 + -5x = 5 + -6 + 3x Combine like terms: 5 + -6 = -1 23 + -5x = -1 + 3x Solving 23 + -5x = -1 + 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. 23 + -5x + -3x = -1 + 3x + -3x Combine like terms: -5x + -3x = -8x 23 + -8x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -8x = -1 + 0 23 + -8x = -1 Add '-23' to each side of the equation. 23 + -23 + -8x = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = -1 + -23 -8x = -1 + -23 Combine like terms: -1 + -23 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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