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Simplifying 1.8(5 + -1x) = 1.6(3 + -1x) (5 * 1.8 + -1x * 1.8) = 1.6(3 + -1x) (9 + -1.8x) = 1.6(3 + -1x) 9 + -1.8x = (3 * 1.6 + -1x * 1.6) 9 + -1.8x = (4.8 + -1.6x) Solving 9 + -1.8x = 4.8 + -1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6x' to each side of the equation. 9 + -1.8x + 1.6x = 4.8 + -1.6x + 1.6x Combine like terms: -1.8x + 1.6x = -0.2x 9 + -0.2x = 4.8 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 9 + -0.2x = 4.8 + 0.0 9 + -0.2x = 4.8 Add '-9' to each side of the equation. 9 + -9 + -0.2x = 4.8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.2x = 4.8 + -9 -0.2x = 4.8 + -9 Combine like terms: 4.8 + -9 = -4.2 -0.2x = -4.2 Divide each side by '-0.2'. x = 21 Simplifying x = 21
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