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Simplifying 0.9(2x + 6) = 20 + -1(x + 4) Reorder the terms: 0.9(6 + 2x) = 20 + -1(x + 4) (6 * 0.9 + 2x * 0.9) = 20 + -1(x + 4) (5.4 + 1.8x) = 20 + -1(x + 4) Reorder the terms: 5.4 + 1.8x = 20 + -1(4 + x) 5.4 + 1.8x = 20 + (4 * -1 + x * -1) 5.4 + 1.8x = 20 + (-4 + -1x) Combine like terms: 20 + -4 = 16 5.4 + 1.8x = 16 + -1x Solving 5.4 + 1.8x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5.4 + 1.8x + x = 16 + -1x + x Combine like terms: 1.8x + x = 2.8x 5.4 + 2.8x = 16 + -1x + x Combine like terms: -1x + x = 0 5.4 + 2.8x = 16 + 0 5.4 + 2.8x = 16 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 2.8x = 16 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 2.8x = 16 + -5.4 2.8x = 16 + -5.4 Combine like terms: 16 + -5.4 = 10.6 2.8x = 10.6 Divide each side by '2.8'. x = 3.785714286 Simplifying x = 3.785714286
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