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