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Simplifying 3(2x + -3) = 8x + 13 Reorder the terms: 3(-3 + 2x) = 8x + 13 (-3 * 3 + 2x * 3) = 8x + 13 (-9 + 6x) = 8x + 13 Reorder the terms: -9 + 6x = 13 + 8x Solving -9 + 6x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 6x + -8x = 13 + 8x + -8x Combine like terms: 6x + -8x = -2x -9 + -2x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -2x = 13 + 0 -9 + -2x = 13 Add '9' to each side of the equation. -9 + 9 + -2x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 13 + 9 -2x = 13 + 9 Combine like terms: 13 + 9 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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