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Simplifying -31 = 4(2x + -2) + 1 Reorder the terms: -31 = 4(-2 + 2x) + 1 -31 = (-2 * 4 + 2x * 4) + 1 -31 = (-8 + 8x) + 1 Reorder the terms: -31 = -8 + 1 + 8x Combine like terms: -8 + 1 = -7 -31 = -7 + 8x Solving -31 = -7 + 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 + -8x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + -8x = -7 + 0 -31 + -8x = -7 Add '31' to each side of the equation. -31 + 31 + -8x = -7 + 31 Combine like terms: -31 + 31 = 0 0 + -8x = -7 + 31 -8x = -7 + 31 Combine like terms: -7 + 31 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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