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Simplifying 0.3(9x + 27) + -4 = 0.5(2x + 54) Reorder the terms: 0.3(27 + 9x) + -4 = 0.5(2x + 54) (27 * 0.3 + 9x * 0.3) + -4 = 0.5(2x + 54) (8.1 + 2.7x) + -4 = 0.5(2x + 54) Reorder the terms: 8.1 + -4 + 2.7x = 0.5(2x + 54) Combine like terms: 8.1 + -4 = 4.1 4.1 + 2.7x = 0.5(2x + 54) Reorder the terms: 4.1 + 2.7x = 0.5(54 + 2x) 4.1 + 2.7x = (54 * 0.5 + 2x * 0.5) 4.1 + 2.7x = (27 + 1x) Solving 4.1 + 2.7x = 27 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.1 + 2.7x + -1x = 27 + 1x + -1x Combine like terms: 2.7x + -1x = 1.7x 4.1 + 1.7x = 27 + 1x + -1x Combine like terms: 1x + -1x = 0 4.1 + 1.7x = 27 + 0 4.1 + 1.7x = 27 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 1.7x = 27 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 1.7x = 27 + -4.1 1.7x = 27 + -4.1 Combine like terms: 27 + -4.1 = 22.9 1.7x = 22.9 Divide each side by '1.7'. x = 13.47058824 Simplifying x = 13.47058824
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