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Simplifying 4(x + 6) = 5(2x + 11) Reorder the terms: 4(6 + x) = 5(2x + 11) (6 * 4 + x * 4) = 5(2x + 11) (24 + 4x) = 5(2x + 11) Reorder the terms: 24 + 4x = 5(11 + 2x) 24 + 4x = (11 * 5 + 2x * 5) 24 + 4x = (55 + 10x) Solving 24 + 4x = 55 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 4x + -10x = 55 + 10x + -10x Combine like terms: 4x + -10x = -6x 24 + -6x = 55 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -6x = 55 + 0 24 + -6x = 55 Add '-24' to each side of the equation. 24 + -24 + -6x = 55 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 55 + -24 -6x = 55 + -24 Combine like terms: 55 + -24 = 31 -6x = 31 Divide each side by '-6'. x = -5.166666667 Simplifying x = -5.166666667
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