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Simplifying 5(5 + 6x) = -23 + 6x (5 * 5 + 6x * 5) = -23 + 6x (25 + 30x) = -23 + 6x Solving 25 + 30x = -23 + 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. 25 + 30x + -6x = -23 + 6x + -6x Combine like terms: 30x + -6x = 24x 25 + 24x = -23 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 24x = -23 + 0 25 + 24x = -23 Add '-25' to each side of the equation. 25 + -25 + 24x = -23 + -25 Combine like terms: 25 + -25 = 0 0 + 24x = -23 + -25 24x = -23 + -25 Combine like terms: -23 + -25 = -48 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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