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Simplifying 5(3x + 5) = 24x + -30 Reorder the terms: 5(5 + 3x) = 24x + -30 (5 * 5 + 3x * 5) = 24x + -30 (25 + 15x) = 24x + -30 Reorder the terms: 25 + 15x = -30 + 24x Solving 25 + 15x = -30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 25 + 15x + -24x = -30 + 24x + -24x Combine like terms: 15x + -24x = -9x 25 + -9x = -30 + 24x + -24x Combine like terms: 24x + -24x = 0 25 + -9x = -30 + 0 25 + -9x = -30 Add '-25' to each side of the equation. 25 + -25 + -9x = -30 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = -30 + -25 -9x = -30 + -25 Combine like terms: -30 + -25 = -55 -9x = -55 Divide each side by '-9'. x = 6.111111111 Simplifying x = 6.111111111
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