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Simplifying 6(5 + -2x) = 4(3x + 1) (5 * 6 + -2x * 6) = 4(3x + 1) (30 + -12x) = 4(3x + 1) Reorder the terms: 30 + -12x = 4(1 + 3x) 30 + -12x = (1 * 4 + 3x * 4) 30 + -12x = (4 + 12x) Solving 30 + -12x = 4 + 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. 30 + -12x + -12x = 4 + 12x + -12x Combine like terms: -12x + -12x = -24x 30 + -24x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -24x = 4 + 0 30 + -24x = 4 Add '-30' to each side of the equation. 30 + -30 + -24x = 4 + -30 Combine like terms: 30 + -30 = 0 0 + -24x = 4 + -30 -24x = 4 + -30 Combine like terms: 4 + -30 = -26 -24x = -26 Divide each side by '-24'. x = 1.083333333 Simplifying x = 1.083333333
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