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Simplifying 2(3x + -1) + 3(x + -4) = 13 Reorder the terms: 2(-1 + 3x) + 3(x + -4) = 13 (-1 * 2 + 3x * 2) + 3(x + -4) = 13 (-2 + 6x) + 3(x + -4) = 13 Reorder the terms: -2 + 6x + 3(-4 + x) = 13 -2 + 6x + (-4 * 3 + x * 3) = 13 -2 + 6x + (-12 + 3x) = 13 Reorder the terms: -2 + -12 + 6x + 3x = 13 Combine like terms: -2 + -12 = -14 -14 + 6x + 3x = 13 Combine like terms: 6x + 3x = 9x -14 + 9x = 13 Solving -14 + 9x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 13 + 14 9x = 13 + 14 Combine like terms: 13 + 14 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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