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Simplifying 4(x + 5) = 6 + 2(1 + -1x) Reorder the terms: 4(5 + x) = 6 + 2(1 + -1x) (5 * 4 + x * 4) = 6 + 2(1 + -1x) (20 + 4x) = 6 + 2(1 + -1x) 20 + 4x = 6 + (1 * 2 + -1x * 2) 20 + 4x = 6 + (2 + -2x) Combine like terms: 6 + 2 = 8 20 + 4x = 8 + -2x Solving 20 + 4x = 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. 20 + 4x + 2x = 8 + -2x + 2x Combine like terms: 4x + 2x = 6x 20 + 6x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 6x = 8 + 0 20 + 6x = 8 Add '-20' to each side of the equation. 20 + -20 + 6x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 8 + -20 6x = 8 + -20 Combine like terms: 8 + -20 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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