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Simplifying 21 + -48 = 6(x + -1) + -3 Combine like terms: 21 + -48 = -27 -27 = 6(x + -1) + -3 Reorder the terms: -27 = 6(-1 + x) + -3 -27 = (-1 * 6 + x * 6) + -3 -27 = (-6 + 6x) + -3 Reorder the terms: -27 = -6 + -3 + 6x Combine like terms: -6 + -3 = -9 -27 = -9 + 6x Solving -27 = -9 + 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. -27 + -6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -6x = -9 + 0 -27 + -6x = -9 Add '27' to each side of the equation. -27 + 27 + -6x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = -9 + 27 -6x = -9 + 27 Combine like terms: -9 + 27 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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