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Simplifying 2.4 + 0.4x = 0.25(6 + x) 2.4 + 0.4x = (6 * 0.25 + x * 0.25) 2.4 + 0.4x = (1.5 + 0.25x) Solving 2.4 + 0.4x = 1.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 2.4 + 0.4x + -0.25x = 1.5 + 0.25x + -0.25x Combine like terms: 0.4x + -0.25x = 0.15x 2.4 + 0.15x = 1.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 2.4 + 0.15x = 1.5 + 0.00 2.4 + 0.15x = 1.5 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.15x = 1.5 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.15x = 1.5 + -2.4 0.15x = 1.5 + -2.4 Combine like terms: 1.5 + -2.4 = -0.9 0.15x = -0.9 Divide each side by '0.15'. x = -6 Simplifying x = -6
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