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Simplifying 18 + -1(3x + 5) = 5(x + 1) + -6 Reorder the terms: 18 + -1(5 + 3x) = 5(x + 1) + -6 18 + (5 * -1 + 3x * -1) = 5(x + 1) + -6 18 + (-5 + -3x) = 5(x + 1) + -6 Combine like terms: 18 + -5 = 13 13 + -3x = 5(x + 1) + -6 Reorder the terms: 13 + -3x = 5(1 + x) + -6 13 + -3x = (1 * 5 + x * 5) + -6 13 + -3x = (5 + 5x) + -6 Reorder the terms: 13 + -3x = 5 + -6 + 5x Combine like terms: 5 + -6 = -1 13 + -3x = -1 + 5x Solving 13 + -3x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + -3x + -5x = -1 + 5x + -5x Combine like terms: -3x + -5x = -8x 13 + -8x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -8x = -1 + 0 13 + -8x = -1 Add '-13' to each side of the equation. 13 + -13 + -8x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -1 + -13 -8x = -1 + -13 Combine like terms: -1 + -13 = -14 -8x = -14 Divide each side by '-8'. x = 1.75 Simplifying x = 1.75
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