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Simplifying 2.6x + 19 = 2.4x + 22 Reorder the terms: 19 + 2.6x = 2.4x + 22 Reorder the terms: 19 + 2.6x = 22 + 2.4x Solving 19 + 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. 19 + 2.6x + -2.4x = 22 + 2.4x + -2.4x Combine like terms: 2.6x + -2.4x = 0.2x 19 + 0.2x = 22 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 19 + 0.2x = 22 + 0.0 19 + 0.2x = 22 Add '-19' to each side of the equation. 19 + -19 + 0.2x = 22 + -19 Combine like terms: 19 + -19 = 0 0 + 0.2x = 22 + -19 0.2x = 22 + -19 Combine like terms: 22 + -19 = 3 0.2x = 3 Divide each side by '0.2'. x = 15 Simplifying x = 15
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