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Simplifying 6(x + -18) + 19 = 24(x + -2) Reorder the terms: 6(-18 + x) + 19 = 24(x + -2) (-18 * 6 + x * 6) + 19 = 24(x + -2) (-108 + 6x) + 19 = 24(x + -2) Reorder the terms: -108 + 19 + 6x = 24(x + -2) Combine like terms: -108 + 19 = -89 -89 + 6x = 24(x + -2) Reorder the terms: -89 + 6x = 24(-2 + x) -89 + 6x = (-2 * 24 + x * 24) -89 + 6x = (-48 + 24x) Solving -89 + 6x = -48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -89 + 6x + -24x = -48 + 24x + -24x Combine like terms: 6x + -24x = -18x -89 + -18x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 -89 + -18x = -48 + 0 -89 + -18x = -48 Add '89' to each side of the equation. -89 + 89 + -18x = -48 + 89 Combine like terms: -89 + 89 = 0 0 + -18x = -48 + 89 -18x = -48 + 89 Combine like terms: -48 + 89 = 41 -18x = 41 Divide each side by '-18'. x = -2.277777778 Simplifying x = -2.277777778
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