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Simplifying 5(3x + -2) = -9x + 2 Reorder the terms: 5(-2 + 3x) = -9x + 2 (-2 * 5 + 3x * 5) = -9x + 2 (-10 + 15x) = -9x + 2 Reorder the terms: -10 + 15x = 2 + -9x Solving -10 + 15x = 2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -10 + 15x + 9x = 2 + -9x + 9x Combine like terms: 15x + 9x = 24x -10 + 24x = 2 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 24x = 2 + 0 -10 + 24x = 2 Add '10' to each side of the equation. -10 + 10 + 24x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 24x = 2 + 10 24x = 2 + 10 Combine like terms: 2 + 10 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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