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Simplifying 0.4(48) + 0.16x = 0.8(x + 48) Multiply 0.4 * 48 19.2 + 0.16x = 0.8(x + 48) Reorder the terms: 19.2 + 0.16x = 0.8(48 + x) 19.2 + 0.16x = (48 * 0.8 + x * 0.8) 19.2 + 0.16x = (38.4 + 0.8x) Solving 19.2 + 0.16x = 38.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 19.2 + 0.16x + -0.8x = 38.4 + 0.8x + -0.8x Combine like terms: 0.16x + -0.8x = -0.64x 19.2 + -0.64x = 38.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 19.2 + -0.64x = 38.4 + 0.0 19.2 + -0.64x = 38.4 Add '-19.2' to each side of the equation. 19.2 + -19.2 + -0.64x = 38.4 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + -0.64x = 38.4 + -19.2 -0.64x = 38.4 + -19.2 Combine like terms: 38.4 + -19.2 = 19.2 -0.64x = 19.2 Divide each side by '-0.64'. x = -30 Simplifying x = -30
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