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Simplifying 2(1.3x + 9) = 2.4x + 22 Reorder the terms: 2(9 + 1.3x) = 2.4x + 22 (9 * 2 + 1.3x * 2) = 2.4x + 22 (18 + 2.6x) = 2.4x + 22 Reorder the terms: 18 + 2.6x = 22 + 2.4x Solving 18 + 2.6x = 22 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 18 + 2.6x + -2.4x = 22 + 2.4x + -2.4x Combine like terms: 2.6x + -2.4x = 0.2x 18 + 0.2x = 22 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 18 + 0.2x = 22 + 0.0 18 + 0.2x = 22 Add '-18' to each side of the equation. 18 + -18 + 0.2x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 0.2x = 22 + -18 0.2x = 22 + -18 Combine like terms: 22 + -18 = 4 0.2x = 4 Divide each side by '0.2'. x = 20 Simplifying x = 20
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