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Simplifying 6(4 + -1x) + 55 = 5(2 + 3x) (4 * 6 + -1x * 6) + 55 = 5(2 + 3x) (24 + -6x) + 55 = 5(2 + 3x) Reorder the terms: 24 + 55 + -6x = 5(2 + 3x) Combine like terms: 24 + 55 = 79 79 + -6x = 5(2 + 3x) 79 + -6x = (2 * 5 + 3x * 5) 79 + -6x = (10 + 15x) Solving 79 + -6x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 79 + -6x + -15x = 10 + 15x + -15x Combine like terms: -6x + -15x = -21x 79 + -21x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 79 + -21x = 10 + 0 79 + -21x = 10 Add '-79' to each side of the equation. 79 + -79 + -21x = 10 + -79 Combine like terms: 79 + -79 = 0 0 + -21x = 10 + -79 -21x = 10 + -79 Combine like terms: 10 + -79 = -69 -21x = -69 Divide each side by '-21'. x = 3.285714286 Simplifying x = 3.285714286
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