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Simplifying 36 + 6x = 4.2(12 + x) 36 + 6x = (12 * 4.2 + x * 4.2) 36 + 6x = (50.4 + 4.2x) Solving 36 + 6x = 50.4 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. 36 + 6x + -4.2x = 50.4 + 4.2x + -4.2x Combine like terms: 6x + -4.2x = 1.8x 36 + 1.8x = 50.4 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 36 + 1.8x = 50.4 + 0.0 36 + 1.8x = 50.4 Add '-36' to each side of the equation. 36 + -36 + 1.8x = 50.4 + -36 Combine like terms: 36 + -36 = 0 0 + 1.8x = 50.4 + -36 1.8x = 50.4 + -36 Combine like terms: 50.4 + -36 = 14.4 1.8x = 14.4 Divide each side by '1.8'. x = 8 Simplifying x = 8
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