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Simplifying 0.4(x + -9) = 0.3(x + 4) Reorder the terms: 0.4(-9 + x) = 0.3(x + 4) (-9 * 0.4 + x * 0.4) = 0.3(x + 4) (-3.6 + 0.4x) = 0.3(x + 4) Reorder the terms: -3.6 + 0.4x = 0.3(4 + x) -3.6 + 0.4x = (4 * 0.3 + x * 0.3) -3.6 + 0.4x = (1.2 + 0.3x) Solving -3.6 + 0.4x = 1.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -3.6 + 0.4x + -0.3x = 1.2 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x -3.6 + 0.1x = 1.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -3.6 + 0.1x = 1.2 + 0.0 -3.6 + 0.1x = 1.2 Add '3.6' to each side of the equation. -3.6 + 3.6 + 0.1x = 1.2 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.1x = 1.2 + 3.6 0.1x = 1.2 + 3.6 Combine like terms: 1.2 + 3.6 = 4.8 0.1x = 4.8 Divide each side by '0.1'. x = 48 Simplifying x = 48
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