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Simplifying 15x + -24 + 6x + -27 = 18x + 3 Reorder the terms: -24 + -27 + 15x + 6x = 18x + 3 Combine like terms: -24 + -27 = -51 -51 + 15x + 6x = 18x + 3 Combine like terms: 15x + 6x = 21x -51 + 21x = 18x + 3 Reorder the terms: -51 + 21x = 3 + 18x Solving -51 + 21x = 3 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -51 + 21x + -18x = 3 + 18x + -18x Combine like terms: 21x + -18x = 3x -51 + 3x = 3 + 18x + -18x Combine like terms: 18x + -18x = 0 -51 + 3x = 3 + 0 -51 + 3x = 3 Add '51' to each side of the equation. -51 + 51 + 3x = 3 + 51 Combine like terms: -51 + 51 = 0 0 + 3x = 3 + 51 3x = 3 + 51 Combine like terms: 3 + 51 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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