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Simplifying 6(4 + -1x) + 55 = 5(2x + 3) (4 * 6 + -1x * 6) + 55 = 5(2x + 3) (24 + -6x) + 55 = 5(2x + 3) Reorder the terms: 24 + 55 + -6x = 5(2x + 3) Combine like terms: 24 + 55 = 79 79 + -6x = 5(2x + 3) Reorder the terms: 79 + -6x = 5(3 + 2x) 79 + -6x = (3 * 5 + 2x * 5) 79 + -6x = (15 + 10x) Solving 79 + -6x = 15 + 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. 79 + -6x + -10x = 15 + 10x + -10x Combine like terms: -6x + -10x = -16x 79 + -16x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 79 + -16x = 15 + 0 79 + -16x = 15 Add '-79' to each side of the equation. 79 + -79 + -16x = 15 + -79 Combine like terms: 79 + -79 = 0 0 + -16x = 15 + -79 -16x = 15 + -79 Combine like terms: 15 + -79 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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