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Simplifying 31 + 4(x + -7) = 5(x + 6) Reorder the terms: 31 + 4(-7 + x) = 5(x + 6) 31 + (-7 * 4 + x * 4) = 5(x + 6) 31 + (-28 + 4x) = 5(x + 6) Combine like terms: 31 + -28 = 3 3 + 4x = 5(x + 6) Reorder the terms: 3 + 4x = 5(6 + x) 3 + 4x = (6 * 5 + x * 5) 3 + 4x = (30 + 5x) Solving 3 + 4x = 30 + 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. 3 + 4x + -5x = 30 + 5x + -5x Combine like terms: 4x + -5x = -1x 3 + -1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -1x = 30 + 0 3 + -1x = 30 Add '-3' to each side of the equation. 3 + -3 + -1x = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 30 + -3 -1x = 30 + -3 Combine like terms: 30 + -3 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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