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