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Simplifying 0.25x + 4 = 0.4(x + 4) Reorder the terms: 4 + 0.25x = 0.4(x + 4) Reorder the terms: 4 + 0.25x = 0.4(4 + x) 4 + 0.25x = (4 * 0.4 + x * 0.4) 4 + 0.25x = (1.6 + 0.4x) Solving 4 + 0.25x = 1.6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 4 + 0.25x + -0.4x = 1.6 + 0.4x + -0.4x Combine like terms: 0.25x + -0.4x = -0.15x 4 + -0.15x = 1.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 4 + -0.15x = 1.6 + 0.0 4 + -0.15x = 1.6 Add '-4' to each side of the equation. 4 + -4 + -0.15x = 1.6 + -4 Combine like terms: 4 + -4 = 0 0 + -0.15x = 1.6 + -4 -0.15x = 1.6 + -4 Combine like terms: 1.6 + -4 = -2.4 -0.15x = -2.4 Divide each side by '-0.15'. x = 16 Simplifying x = 16
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