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Simplifying 4 + 5(-4 + -2x) = 6(1 + 2x) 4 + (-4 * 5 + -2x * 5) = 6(1 + 2x) 4 + (-20 + -10x) = 6(1 + 2x) Combine like terms: 4 + -20 = -16 -16 + -10x = 6(1 + 2x) -16 + -10x = (1 * 6 + 2x * 6) -16 + -10x = (6 + 12x) Solving -16 + -10x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + -10x + -12x = 6 + 12x + -12x Combine like terms: -10x + -12x = -22x -16 + -22x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -22x = 6 + 0 -16 + -22x = 6 Add '16' to each side of the equation. -16 + 16 + -22x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -22x = 6 + 16 -22x = 6 + 16 Combine like terms: 6 + 16 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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