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Simplifying 6(x + -3) + -8(3x + 8) = -19(x + 6) + 9 Reorder the terms: 6(-3 + x) + -8(3x + 8) = -19(x + 6) + 9 (-3 * 6 + x * 6) + -8(3x + 8) = -19(x + 6) + 9 (-18 + 6x) + -8(3x + 8) = -19(x + 6) + 9 Reorder the terms: -18 + 6x + -8(8 + 3x) = -19(x + 6) + 9 -18 + 6x + (8 * -8 + 3x * -8) = -19(x + 6) + 9 -18 + 6x + (-64 + -24x) = -19(x + 6) + 9 Reorder the terms: -18 + -64 + 6x + -24x = -19(x + 6) + 9 Combine like terms: -18 + -64 = -82 -82 + 6x + -24x = -19(x + 6) + 9 Combine like terms: 6x + -24x = -18x -82 + -18x = -19(x + 6) + 9 Reorder the terms: -82 + -18x = -19(6 + x) + 9 -82 + -18x = (6 * -19 + x * -19) + 9 -82 + -18x = (-114 + -19x) + 9 Reorder the terms: -82 + -18x = -114 + 9 + -19x Combine like terms: -114 + 9 = -105 -82 + -18x = -105 + -19x Solving -82 + -18x = -105 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -82 + -18x + 19x = -105 + -19x + 19x Combine like terms: -18x + 19x = 1x -82 + 1x = -105 + -19x + 19x Combine like terms: -19x + 19x = 0 -82 + 1x = -105 + 0 -82 + 1x = -105 Add '82' to each side of the equation. -82 + 82 + 1x = -105 + 82 Combine like terms: -82 + 82 = 0 0 + 1x = -105 + 82 1x = -105 + 82 Combine like terms: -105 + 82 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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