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Simplifying 21 + -1(x + 6) = 8x + -3 Reorder the terms: 21 + -1(6 + x) = 8x + -3 21 + (6 * -1 + x * -1) = 8x + -3 21 + (-6 + -1x) = 8x + -3 Combine like terms: 21 + -6 = 15 15 + -1x = 8x + -3 Reorder the terms: 15 + -1x = -3 + 8x Solving 15 + -1x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -1x + -8x = -3 + 8x + -8x Combine like terms: -1x + -8x = -9x 15 + -9x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -9x = -3 + 0 15 + -9x = -3 Add '-15' to each side of the equation. 15 + -15 + -9x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -3 + -15 -9x = -3 + -15 Combine like terms: -3 + -15 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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