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Simplifying 5x + 18 = 15x + -24 + -4x Reorder the terms: 18 + 5x = 15x + -24 + -4x Reorder the terms: 18 + 5x = -24 + 15x + -4x Combine like terms: 15x + -4x = 11x 18 + 5x = -24 + 11x Solving 18 + 5x = -24 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 18 + 5x + -11x = -24 + 11x + -11x Combine like terms: 5x + -11x = -6x 18 + -6x = -24 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + -6x = -24 + 0 18 + -6x = -24 Add '-18' to each side of the equation. 18 + -18 + -6x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -24 + -18 -6x = -24 + -18 Combine like terms: -24 + -18 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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