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Simplifying 7.8(x + -4) = 0.2x + 24.8 Reorder the terms: 7.8(-4 + x) = 0.2x + 24.8 (-4 * 7.8 + x * 7.8) = 0.2x + 24.8 (-31.2 + 7.8x) = 0.2x + 24.8 Reorder the terms: -31.2 + 7.8x = 24.8 + 0.2x Solving -31.2 + 7.8x = 24.8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -31.2 + 7.8x + -0.2x = 24.8 + 0.2x + -0.2x Combine like terms: 7.8x + -0.2x = 7.6x -31.2 + 7.6x = 24.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -31.2 + 7.6x = 24.8 + 0.0 -31.2 + 7.6x = 24.8 Add '31.2' to each side of the equation. -31.2 + 31.2 + 7.6x = 24.8 + 31.2 Combine like terms: -31.2 + 31.2 = 0.0 0.0 + 7.6x = 24.8 + 31.2 7.6x = 24.8 + 31.2 Combine like terms: 24.8 + 31.2 = 56 7.6x = 56 Divide each side by '7.6'. x = 7.368421053 Simplifying x = 7.368421053
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