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Simplifying 6(3x + -1) + -3(3x + -19) = 8x + 20 Reorder the terms: 6(-1 + 3x) + -3(3x + -19) = 8x + 20 (-1 * 6 + 3x * 6) + -3(3x + -19) = 8x + 20 (-6 + 18x) + -3(3x + -19) = 8x + 20 Reorder the terms: -6 + 18x + -3(-19 + 3x) = 8x + 20 -6 + 18x + (-19 * -3 + 3x * -3) = 8x + 20 -6 + 18x + (57 + -9x) = 8x + 20 Reorder the terms: -6 + 57 + 18x + -9x = 8x + 20 Combine like terms: -6 + 57 = 51 51 + 18x + -9x = 8x + 20 Combine like terms: 18x + -9x = 9x 51 + 9x = 8x + 20 Reorder the terms: 51 + 9x = 20 + 8x Solving 51 + 9x = 20 + 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. 51 + 9x + -8x = 20 + 8x + -8x Combine like terms: 9x + -8x = 1x 51 + 1x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 51 + 1x = 20 + 0 51 + 1x = 20 Add '-51' to each side of the equation. 51 + -51 + 1x = 20 + -51 Combine like terms: 51 + -51 = 0 0 + 1x = 20 + -51 1x = 20 + -51 Combine like terms: 20 + -51 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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