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Simplifying 3(2 + 5x) + -10 = 22 + 6x (2 * 3 + 5x * 3) + -10 = 22 + 6x (6 + 15x) + -10 = 22 + 6x Reorder the terms: 6 + -10 + 15x = 22 + 6x Combine like terms: 6 + -10 = -4 -4 + 15x = 22 + 6x Solving -4 + 15x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 15x + -6x = 22 + 6x + -6x Combine like terms: 15x + -6x = 9x -4 + 9x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 9x = 22 + 0 -4 + 9x = 22 Add '4' to each side of the equation. -4 + 4 + 9x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 22 + 4 9x = 22 + 4 Combine like terms: 22 + 4 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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