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Simplifying 5(6x + -3) + 3(2x + -4) = 13 Reorder the terms: 5(-3 + 6x) + 3(2x + -4) = 13 (-3 * 5 + 6x * 5) + 3(2x + -4) = 13 (-15 + 30x) + 3(2x + -4) = 13 Reorder the terms: -15 + 30x + 3(-4 + 2x) = 13 -15 + 30x + (-4 * 3 + 2x * 3) = 13 -15 + 30x + (-12 + 6x) = 13 Reorder the terms: -15 + -12 + 30x + 6x = 13 Combine like terms: -15 + -12 = -27 -27 + 30x + 6x = 13 Combine like terms: 30x + 6x = 36x -27 + 36x = 13 Solving -27 + 36x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 36x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 36x = 13 + 27 36x = 13 + 27 Combine like terms: 13 + 27 = 40 36x = 40 Divide each side by '36'. x = 1.111111111 Simplifying x = 1.111111111
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