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Simplifying 2x + -4(x + -2) = -9 + 4x + -31 Reorder the terms: 2x + -4(-2 + x) = -9 + 4x + -31 2x + (-2 * -4 + x * -4) = -9 + 4x + -31 2x + (8 + -4x) = -9 + 4x + -31 Reorder the terms: 8 + 2x + -4x = -9 + 4x + -31 Combine like terms: 2x + -4x = -2x 8 + -2x = -9 + 4x + -31 Reorder the terms: 8 + -2x = -9 + -31 + 4x Combine like terms: -9 + -31 = -40 8 + -2x = -40 + 4x Solving 8 + -2x = -40 + 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. 8 + -2x + -4x = -40 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = -40 + 0 8 + -6x = -40 Add '-8' to each side of the equation. 8 + -8 + -6x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -40 + -8 -6x = -40 + -8 Combine like terms: -40 + -8 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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