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Simplifying 31 + -3(2x + 1) = 4(3 + -1x) Reorder the terms: 31 + -3(1 + 2x) = 4(3 + -1x) 31 + (1 * -3 + 2x * -3) = 4(3 + -1x) 31 + (-3 + -6x) = 4(3 + -1x) Combine like terms: 31 + -3 = 28 28 + -6x = 4(3 + -1x) 28 + -6x = (3 * 4 + -1x * 4) 28 + -6x = (12 + -4x) Solving 28 + -6x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 28 + -6x + 4x = 12 + -4x + 4x Combine like terms: -6x + 4x = -2x 28 + -2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 28 + -2x = 12 + 0 28 + -2x = 12 Add '-28' to each side of the equation. 28 + -28 + -2x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 12 + -28 -2x = 12 + -28 Combine like terms: 12 + -28 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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