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Simplifying 5(3x + -2) + -3(3x + -2) = 8 Reorder the terms: 5(-2 + 3x) + -3(3x + -2) = 8 (-2 * 5 + 3x * 5) + -3(3x + -2) = 8 (-10 + 15x) + -3(3x + -2) = 8 Reorder the terms: -10 + 15x + -3(-2 + 3x) = 8 -10 + 15x + (-2 * -3 + 3x * -3) = 8 -10 + 15x + (6 + -9x) = 8 Reorder the terms: -10 + 6 + 15x + -9x = 8 Combine like terms: -10 + 6 = -4 -4 + 15x + -9x = 8 Combine like terms: 15x + -9x = 6x -4 + 6x = 8 Solving -4 + 6x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 8 + 4 6x = 8 + 4 Combine like terms: 8 + 4 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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