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Simplifying -2x + -31 = 4(2x + -3) + 1 Reorder the terms: -31 + -2x = 4(2x + -3) + 1 Reorder the terms: -31 + -2x = 4(-3 + 2x) + 1 -31 + -2x = (-3 * 4 + 2x * 4) + 1 -31 + -2x = (-12 + 8x) + 1 Reorder the terms: -31 + -2x = -12 + 1 + 8x Combine like terms: -12 + 1 = -11 -31 + -2x = -11 + 8x Solving -31 + -2x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -31 + -2x + -8x = -11 + 8x + -8x Combine like terms: -2x + -8x = -10x -31 + -10x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + -10x = -11 + 0 -31 + -10x = -11 Add '31' to each side of the equation. -31 + 31 + -10x = -11 + 31 Combine like terms: -31 + 31 = 0 0 + -10x = -11 + 31 -10x = -11 + 31 Combine like terms: -11 + 31 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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