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Simplifying 4(3 + -3(x + 1)) + 1 = 2(-31 + -1x) + 2x + 31 Reorder the terms: 4(3 + -3(1 + x)) + 1 = 2(-31 + -1x) + 2x + 31 4(3 + (1 * -3 + x * -3)) + 1 = 2(-31 + -1x) + 2x + 31 4(3 + (-3 + -3x)) + 1 = 2(-31 + -1x) + 2x + 31 Combine like terms: 3 + -3 = 0 4(0 + -3x) + 1 = 2(-31 + -1x) + 2x + 31 4(-3x) + 1 = 2(-31 + -1x) + 2x + 31 Remove parenthesis around (-3x) 4 * -3x + 1 = 2(-31 + -1x) + 2x + 31 Multiply 4 * -3 -12x + 1 = 2(-31 + -1x) + 2x + 31 Reorder the terms: 1 + -12x = 2(-31 + -1x) + 2x + 31 1 + -12x = (-31 * 2 + -1x * 2) + 2x + 31 1 + -12x = (-62 + -2x) + 2x + 31 Reorder the terms: 1 + -12x = -62 + 31 + -2x + 2x Combine like terms: -62 + 31 = -31 1 + -12x = -31 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -12x = -31 + 0 1 + -12x = -31 Solving 1 + -12x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -12x = -31 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -31 + -1 -12x = -31 + -1 Combine like terms: -31 + -1 = -32 -12x = -32 Divide each side by '-12'. x = 2.666666667 Simplifying x = 2.666666667
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