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Simplifying 40 + -6x = 8(1 + -2x) + 2 40 + -6x = (1 * 8 + -2x * 8) + 2 40 + -6x = (8 + -16x) + 2 Reorder the terms: 40 + -6x = 8 + 2 + -16x Combine like terms: 8 + 2 = 10 40 + -6x = 10 + -16x Solving 40 + -6x = 10 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 40 + -6x + 16x = 10 + -16x + 16x Combine like terms: -6x + 16x = 10x 40 + 10x = 10 + -16x + 16x Combine like terms: -16x + 16x = 0 40 + 10x = 10 + 0 40 + 10x = 10 Add '-40' to each side of the equation. 40 + -40 + 10x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 10 + -40 10x = 10 + -40 Combine like terms: 10 + -40 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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