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Simplifying 4(x + -2) = 12x + -40 Reorder the terms: 4(-2 + x) = 12x + -40 (-2 * 4 + x * 4) = 12x + -40 (-8 + 4x) = 12x + -40 Reorder the terms: -8 + 4x = -40 + 12x Solving -8 + 4x = -40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 4x + -12x = -40 + 12x + -12x Combine like terms: 4x + -12x = -8x -8 + -8x = -40 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -8x = -40 + 0 -8 + -8x = -40 Add '8' to each side of the equation. -8 + 8 + -8x = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -40 + 8 -8x = -40 + 8 Combine like terms: -40 + 8 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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