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Simplifying 31 + 3x + -16 = -3(5 + -1x) + -16x Reorder the terms: 31 + -16 + 3x = -3(5 + -1x) + -16x Combine like terms: 31 + -16 = 15 15 + 3x = -3(5 + -1x) + -16x 15 + 3x = (5 * -3 + -1x * -3) + -16x 15 + 3x = (-15 + 3x) + -16x Combine like terms: 3x + -16x = -13x 15 + 3x = -15 + -13x Solving 15 + 3x = -15 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 15 + 3x + 13x = -15 + -13x + 13x Combine like terms: 3x + 13x = 16x 15 + 16x = -15 + -13x + 13x Combine like terms: -13x + 13x = 0 15 + 16x = -15 + 0 15 + 16x = -15 Add '-15' to each side of the equation. 15 + -15 + 16x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 16x = -15 + -15 16x = -15 + -15 Combine like terms: -15 + -15 = -30 16x = -30 Divide each side by '16'. x = -1.875 Simplifying x = -1.875
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