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Simplifying 4[3(x + 1)] + 1 = 2(-31 + -1x) + 2x + 31 Reorder the terms: 4[3(1 + x)] + 1 = 2(-31 + -1x) + 2x + 31 4[(1 * 3 + x * 3)] + 1 = 2(-31 + -1x) + 2x + 31 4[(3 + 3x)] + 1 = 2(-31 + -1x) + 2x + 31 [3 * 4 + 3x * 4] + 1 = 2(-31 + -1x) + 2x + 31 [12 + 12x] + 1 = 2(-31 + -1x) + 2x + 31 Reorder the terms: 12 + 1 + 12x = 2(-31 + -1x) + 2x + 31 Combine like terms: 12 + 1 = 13 13 + 12x = 2(-31 + -1x) + 2x + 31 13 + 12x = (-31 * 2 + -1x * 2) + 2x + 31 13 + 12x = (-62 + -2x) + 2x + 31 Reorder the terms: 13 + 12x = -62 + 31 + -2x + 2x Combine like terms: -62 + 31 = -31 13 + 12x = -31 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 12x = -31 + 0 13 + 12x = -31 Solving 13 + 12x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12x = -31 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = -31 + -13 12x = -31 + -13 Combine like terms: -31 + -13 = -44 12x = -44 Divide each side by '12'. x = -3.666666667 Simplifying x = -3.666666667
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