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Simplifying 5(4 + -6x) = 8 + 6(7 + 2x) (4 * 5 + -6x * 5) = 8 + 6(7 + 2x) (20 + -30x) = 8 + 6(7 + 2x) 20 + -30x = 8 + (7 * 6 + 2x * 6) 20 + -30x = 8 + (42 + 12x) Combine like terms: 8 + 42 = 50 20 + -30x = 50 + 12x Solving 20 + -30x = 50 + 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. 20 + -30x + -12x = 50 + 12x + -12x Combine like terms: -30x + -12x = -42x 20 + -42x = 50 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -42x = 50 + 0 20 + -42x = 50 Add '-20' to each side of the equation. 20 + -20 + -42x = 50 + -20 Combine like terms: 20 + -20 = 0 0 + -42x = 50 + -20 -42x = 50 + -20 Combine like terms: 50 + -20 = 30 -42x = 30 Divide each side by '-42'. x = -0.7142857143 Simplifying x = -0.7142857143
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