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Simplifying 0.9(2x + 2) = 20 + -1(x + 7) Reorder the terms: 0.9(2 + 2x) = 20 + -1(x + 7) (2 * 0.9 + 2x * 0.9) = 20 + -1(x + 7) (1.8 + 1.8x) = 20 + -1(x + 7) Reorder the terms: 1.8 + 1.8x = 20 + -1(7 + x) 1.8 + 1.8x = 20 + (7 * -1 + x * -1) 1.8 + 1.8x = 20 + (-7 + -1x) Combine like terms: 20 + -7 = 13 1.8 + 1.8x = 13 + -1x Solving 1.8 + 1.8x = 13 + -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. 1.8 + 1.8x + x = 13 + -1x + x Combine like terms: 1.8x + x = 2.8x 1.8 + 2.8x = 13 + -1x + x Combine like terms: -1x + x = 0 1.8 + 2.8x = 13 + 0 1.8 + 2.8x = 13 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 2.8x = 13 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 2.8x = 13 + -1.8 2.8x = 13 + -1.8 Combine like terms: 13 + -1.8 = 11.2 2.8x = 11.2 Divide each side by '2.8'. x = 4 Simplifying x = 4
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