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Simplifying 40 = 4(2x + -4) + -8 Reorder the terms: 40 = 4(-4 + 2x) + -8 40 = (-4 * 4 + 2x * 4) + -8 40 = (-16 + 8x) + -8 Reorder the terms: 40 = -16 + -8 + 8x Combine like terms: -16 + -8 = -24 40 = -24 + 8x Solving 40 = -24 + 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. 40 + -8x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -8x = -24 + 0 40 + -8x = -24 Add '-40' to each side of the equation. 40 + -40 + -8x = -24 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -24 + -40 -8x = -24 + -40 Combine like terms: -24 + -40 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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