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Simplifying 2(15x + -2) = 15x + 2 + 9 Reorder the terms: 2(-2 + 15x) = 15x + 2 + 9 (-2 * 2 + 15x * 2) = 15x + 2 + 9 (-4 + 30x) = 15x + 2 + 9 Reorder the terms: -4 + 30x = 2 + 9 + 15x Combine like terms: 2 + 9 = 11 -4 + 30x = 11 + 15x Solving -4 + 30x = 11 + 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. -4 + 30x + -15x = 11 + 15x + -15x Combine like terms: 30x + -15x = 15x -4 + 15x = 11 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + 15x = 11 + 0 -4 + 15x = 11 Add '4' to each side of the equation. -4 + 4 + 15x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = 11 + 4 15x = 11 + 4 Combine like terms: 11 + 4 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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