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Simplifying 6x + 27 = 15x + -63 Reorder the terms: 27 + 6x = 15x + -63 Reorder the terms: 27 + 6x = -63 + 15x Solving 27 + 6x = -63 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + 6x + -15x = -63 + 15x + -15x Combine like terms: 6x + -15x = -9x 27 + -9x = -63 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -9x = -63 + 0 27 + -9x = -63 Add '-27' to each side of the equation. 27 + -27 + -9x = -63 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = -63 + -27 -9x = -63 + -27 Combine like terms: -63 + -27 = -90 -9x = -90 Divide each side by '-9'. x = 10 Simplifying x = 10
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