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Simplifying 0.9(2x + -8) = 4 + -1(x + 5) Reorder the terms: 0.9(-8 + 2x) = 4 + -1(x + 5) (-8 * 0.9 + 2x * 0.9) = 4 + -1(x + 5) (-7.2 + 1.8x) = 4 + -1(x + 5) Reorder the terms: -7.2 + 1.8x = 4 + -1(5 + x) -7.2 + 1.8x = 4 + (5 * -1 + x * -1) -7.2 + 1.8x = 4 + (-5 + -1x) Combine like terms: 4 + -5 = -1 -7.2 + 1.8x = -1 + -1x Solving -7.2 + 1.8x = -1 + -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. -7.2 + 1.8x + x = -1 + -1x + x Combine like terms: 1.8x + x = 2.8x -7.2 + 2.8x = -1 + -1x + x Combine like terms: -1x + x = 0 -7.2 + 2.8x = -1 + 0 -7.2 + 2.8x = -1 Add '7.2' to each side of the equation. -7.2 + 7.2 + 2.8x = -1 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 2.8x = -1 + 7.2 2.8x = -1 + 7.2 Combine like terms: -1 + 7.2 = 6.2 2.8x = 6.2 Divide each side by '2.8'. x = 2.214285714 Simplifying x = 2.214285714
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