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Simplifying 0.20(7x + -4) = 1(x + 4) Reorder the terms: 0.20(-4 + 7x) = 1(x + 4) (-4 * 0.20 + 7x * 0.20) = 1(x + 4) (-0.8 + 1.4x) = 1(x + 4) Reorder the terms: -0.8 + 1.4x = 1(4 + x) -0.8 + 1.4x = (4 * 1 + x * 1) -0.8 + 1.4x = (4 + 1x) Solving -0.8 + 1.4x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.8 + 1.4x + -1x = 4 + 1x + -1x Combine like terms: 1.4x + -1x = 0.4x -0.8 + 0.4x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.8 + 0.4x = 4 + 0 -0.8 + 0.4x = 4 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.4x = 4 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.4x = 4 + 0.8 0.4x = 4 + 0.8 Combine like terms: 4 + 0.8 = 4.8 0.4x = 4.8 Divide each side by '0.4'. x = 12 Simplifying x = 12
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