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Simplifying 6(45x + -19) = -16(-26 + -6x) Reorder the terms: 6(-19 + 45x) = -16(-26 + -6x) (-19 * 6 + 45x * 6) = -16(-26 + -6x) (-114 + 270x) = -16(-26 + -6x) -114 + 270x = (-26 * -16 + -6x * -16) -114 + 270x = (416 + 96x) Solving -114 + 270x = 416 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -114 + 270x + -96x = 416 + 96x + -96x Combine like terms: 270x + -96x = 174x -114 + 174x = 416 + 96x + -96x Combine like terms: 96x + -96x = 0 -114 + 174x = 416 + 0 -114 + 174x = 416 Add '114' to each side of the equation. -114 + 114 + 174x = 416 + 114 Combine like terms: -114 + 114 = 0 0 + 174x = 416 + 114 174x = 416 + 114 Combine like terms: 416 + 114 = 530 174x = 530 Divide each side by '174'. x = 3.045977011 Simplifying x = 3.045977011
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