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Simplifying 5(x + -4) = 0.4(3x + 4) + 5 Reorder the terms: 5(-4 + x) = 0.4(3x + 4) + 5 (-4 * 5 + x * 5) = 0.4(3x + 4) + 5 (-20 + 5x) = 0.4(3x + 4) + 5 Reorder the terms: -20 + 5x = 0.4(4 + 3x) + 5 -20 + 5x = (4 * 0.4 + 3x * 0.4) + 5 -20 + 5x = (1.6 + 1.2x) + 5 Reorder the terms: -20 + 5x = 1.6 + 5 + 1.2x Combine like terms: 1.6 + 5 = 6.6 -20 + 5x = 6.6 + 1.2x Solving -20 + 5x = 6.6 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -20 + 5x + -1.2x = 6.6 + 1.2x + -1.2x Combine like terms: 5x + -1.2x = 3.8x -20 + 3.8x = 6.6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -20 + 3.8x = 6.6 + 0.0 -20 + 3.8x = 6.6 Add '20' to each side of the equation. -20 + 20 + 3.8x = 6.6 + 20 Combine like terms: -20 + 20 = 0 0 + 3.8x = 6.6 + 20 3.8x = 6.6 + 20 Combine like terms: 6.6 + 20 = 26.6 3.8x = 26.6 Divide each side by '3.8'. x = 7 Simplifying x = 7
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