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Simplifying 18 + -5(x + 1) = 3(x + -1) Reorder the terms: 18 + -5(1 + x) = 3(x + -1) 18 + (1 * -5 + x * -5) = 3(x + -1) 18 + (-5 + -5x) = 3(x + -1) Combine like terms: 18 + -5 = 13 13 + -5x = 3(x + -1) Reorder the terms: 13 + -5x = 3(-1 + x) 13 + -5x = (-1 * 3 + x * 3) 13 + -5x = (-3 + 3x) Solving 13 + -5x = -3 + 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. 13 + -5x + -3x = -3 + 3x + -3x Combine like terms: -5x + -3x = -8x 13 + -8x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -8x = -3 + 0 13 + -8x = -3 Add '-13' to each side of the equation. 13 + -13 + -8x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -3 + -13 -8x = -3 + -13 Combine like terms: -3 + -13 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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