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Simplifying 31 + 3x + -16 = -3(5 + -1x) + 6x Reorder the terms: 31 + -16 + 3x = -3(5 + -1x) + 6x Combine like terms: 31 + -16 = 15 15 + 3x = -3(5 + -1x) + 6x 15 + 3x = (5 * -3 + -1x * -3) + 6x 15 + 3x = (-15 + 3x) + 6x Combine like terms: 3x + 6x = 9x 15 + 3x = -15 + 9x Solving 15 + 3x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 3x + -9x = -15 + 9x + -9x Combine like terms: 3x + -9x = -6x 15 + -6x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -6x = -15 + 0 15 + -6x = -15 Add '-15' to each side of the equation. 15 + -15 + -6x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -15 + -15 -6x = -15 + -15 Combine like terms: -15 + -15 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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