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Simplifying 6(4 + -1x) = 5(2x + 3) + -55 (4 * 6 + -1x * 6) = 5(2x + 3) + -55 (24 + -6x) = 5(2x + 3) + -55 Reorder the terms: 24 + -6x = 5(3 + 2x) + -55 24 + -6x = (3 * 5 + 2x * 5) + -55 24 + -6x = (15 + 10x) + -55 Reorder the terms: 24 + -6x = 15 + -55 + 10x Combine like terms: 15 + -55 = -40 24 + -6x = -40 + 10x Solving 24 + -6x = -40 + 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 + -6x + -10x = -40 + 10x + -10x Combine like terms: -6x + -10x = -16x 24 + -16x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -16x = -40 + 0 24 + -16x = -40 Add '-24' to each side of the equation. 24 + -24 + -16x = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = -40 + -24 -16x = -40 + -24 Combine like terms: -40 + -24 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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