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Simplifying 3(x + 8) + -42 = 21 + -8x Reorder the terms: 3(8 + x) + -42 = 21 + -8x (8 * 3 + x * 3) + -42 = 21 + -8x (24 + 3x) + -42 = 21 + -8x Reorder the terms: 24 + -42 + 3x = 21 + -8x Combine like terms: 24 + -42 = -18 -18 + 3x = 21 + -8x Solving -18 + 3x = 21 + -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. -18 + 3x + 8x = 21 + -8x + 8x Combine like terms: 3x + 8x = 11x -18 + 11x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 11x = 21 + 0 -18 + 11x = 21 Add '18' to each side of the equation. -18 + 18 + 11x = 21 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 21 + 18 11x = 21 + 18 Combine like terms: 21 + 18 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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