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Simplifying 480(0.3) + 0.55x = 0.4(480 + x) Multiply 480 * 0.3 144 + 0.55x = 0.4(480 + x) 144 + 0.55x = (480 * 0.4 + x * 0.4) 144 + 0.55x = (192 + 0.4x) Solving 144 + 0.55x = 192 + 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. 144 + 0.55x + -0.4x = 192 + 0.4x + -0.4x Combine like terms: 0.55x + -0.4x = 0.15x 144 + 0.15x = 192 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 144 + 0.15x = 192 + 0.0 144 + 0.15x = 192 Add '-144' to each side of the equation. 144 + -144 + 0.15x = 192 + -144 Combine like terms: 144 + -144 = 0 0 + 0.15x = 192 + -144 0.15x = 192 + -144 Combine like terms: 192 + -144 = 48 0.15x = 48 Divide each side by '0.15'. x = 320 Simplifying x = 320
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