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Simplifying 5(3x + -2) + -2(3x + -4) = 13 Reorder the terms: 5(-2 + 3x) + -2(3x + -4) = 13 (-2 * 5 + 3x * 5) + -2(3x + -4) = 13 (-10 + 15x) + -2(3x + -4) = 13 Reorder the terms: -10 + 15x + -2(-4 + 3x) = 13 -10 + 15x + (-4 * -2 + 3x * -2) = 13 -10 + 15x + (8 + -6x) = 13 Reorder the terms: -10 + 8 + 15x + -6x = 13 Combine like terms: -10 + 8 = -2 -2 + 15x + -6x = 13 Combine like terms: 15x + -6x = 9x -2 + 9x = 13 Solving -2 + 9x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 13 + 2 9x = 13 + 2 Combine like terms: 13 + 2 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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