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Simplifying 19x + 6(-8x + 20) = -16 + -20x + -8 Reorder the terms: 19x + 6(20 + -8x) = -16 + -20x + -8 19x + (20 * 6 + -8x * 6) = -16 + -20x + -8 19x + (120 + -48x) = -16 + -20x + -8 Reorder the terms: 120 + 19x + -48x = -16 + -20x + -8 Combine like terms: 19x + -48x = -29x 120 + -29x = -16 + -20x + -8 Reorder the terms: 120 + -29x = -16 + -8 + -20x Combine like terms: -16 + -8 = -24 120 + -29x = -24 + -20x Solving 120 + -29x = -24 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 120 + -29x + 20x = -24 + -20x + 20x Combine like terms: -29x + 20x = -9x 120 + -9x = -24 + -20x + 20x Combine like terms: -20x + 20x = 0 120 + -9x = -24 + 0 120 + -9x = -24 Add '-120' to each side of the equation. 120 + -120 + -9x = -24 + -120 Combine like terms: 120 + -120 = 0 0 + -9x = -24 + -120 -9x = -24 + -120 Combine like terms: -24 + -120 = -144 -9x = -144 Divide each side by '-9'. x = 16 Simplifying x = 16
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