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Simplifying 4(x + 5) = 6(2x + -1) Reorder the terms: 4(5 + x) = 6(2x + -1) (5 * 4 + x * 4) = 6(2x + -1) (20 + 4x) = 6(2x + -1) Reorder the terms: 20 + 4x = 6(-1 + 2x) 20 + 4x = (-1 * 6 + 2x * 6) 20 + 4x = (-6 + 12x) Solving 20 + 4x = -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. 20 + 4x + -12x = -6 + 12x + -12x Combine like terms: 4x + -12x = -8x 20 + -8x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -8x = -6 + 0 20 + -8x = -6 Add '-20' to each side of the equation. 20 + -20 + -8x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -6 + -20 -8x = -6 + -20 Combine like terms: -6 + -20 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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