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Simplifying 5(6 + -5x) = 6x + -22 (6 * 5 + -5x * 5) = 6x + -22 (30 + -25x) = 6x + -22 Reorder the terms: 30 + -25x = -22 + 6x Solving 30 + -25x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + -25x + -6x = -22 + 6x + -6x Combine like terms: -25x + -6x = -31x 30 + -31x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -31x = -22 + 0 30 + -31x = -22 Add '-30' to each side of the equation. 30 + -30 + -31x = -22 + -30 Combine like terms: 30 + -30 = 0 0 + -31x = -22 + -30 -31x = -22 + -30 Combine like terms: -22 + -30 = -52 -31x = -52 Divide each side by '-31'. x = 1.677419355 Simplifying x = 1.677419355
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