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Simplifying 19x + 24 = 2(8x + -9) Reorder the terms: 24 + 19x = 2(8x + -9) Reorder the terms: 24 + 19x = 2(-9 + 8x) 24 + 19x = (-9 * 2 + 8x * 2) 24 + 19x = (-18 + 16x) Solving 24 + 19x = -18 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 19x + -16x = -18 + 16x + -16x Combine like terms: 19x + -16x = 3x 24 + 3x = -18 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + 3x = -18 + 0 24 + 3x = -18 Add '-24' to each side of the equation. 24 + -24 + 3x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = -18 + -24 3x = -18 + -24 Combine like terms: -18 + -24 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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