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Simplifying 40 + 6x = -8x + 2(x + 2) Reorder the terms: 40 + 6x = -8x + 2(2 + x) 40 + 6x = -8x + (2 * 2 + x * 2) 40 + 6x = -8x + (4 + 2x) Reorder the terms: 40 + 6x = 4 + -8x + 2x Combine like terms: -8x + 2x = -6x 40 + 6x = 4 + -6x Solving 40 + 6x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 40 + 6x + 6x = 4 + -6x + 6x Combine like terms: 6x + 6x = 12x 40 + 12x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 40 + 12x = 4 + 0 40 + 12x = 4 Add '-40' to each side of the equation. 40 + -40 + 12x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = 4 + -40 12x = 4 + -40 Combine like terms: 4 + -40 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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