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Simplifying 3(2x + 9) + -12(4x) = 21 + 8x Reorder the terms: 3(9 + 2x) + -12(4x) = 21 + 8x (9 * 3 + 2x * 3) + -12(4x) = 21 + 8x (27 + 6x) + -12(4x) = 21 + 8x Remove parenthesis around (4x) 27 + 6x + -12 * 4x = 21 + 8x Multiply -12 * 4 27 + 6x + -48x = 21 + 8x Combine like terms: 6x + -48x = -42x 27 + -42x = 21 + 8x Solving 27 + -42x = 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. 27 + -42x + -8x = 21 + 8x + -8x Combine like terms: -42x + -8x = -50x 27 + -50x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -50x = 21 + 0 27 + -50x = 21 Add '-27' to each side of the equation. 27 + -27 + -50x = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -50x = 21 + -27 -50x = 21 + -27 Combine like terms: 21 + -27 = -6 -50x = -6 Divide each side by '-50'. x = 0.12 Simplifying x = 0.12
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