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Simplifying 0.4(x + -3) = 0.8(0.3 + -1x) Reorder the terms: 0.4(-3 + x) = 0.8(0.3 + -1x) (-3 * 0.4 + x * 0.4) = 0.8(0.3 + -1x) (-1.2 + 0.4x) = 0.8(0.3 + -1x) -1.2 + 0.4x = (0.3 * 0.8 + -1x * 0.8) -1.2 + 0.4x = (0.24 + -0.8x) Solving -1.2 + 0.4x = 0.24 + -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. -1.2 + 0.4x + 0.8x = 0.24 + -0.8x + 0.8x Combine like terms: 0.4x + 0.8x = 1.2x -1.2 + 1.2x = 0.24 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -1.2 + 1.2x = 0.24 + 0.0 -1.2 + 1.2x = 0.24 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.2x = 0.24 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.2x = 0.24 + 1.2 1.2x = 0.24 + 1.2 Combine like terms: 0.24 + 1.2 = 1.44 1.2x = 1.44 Divide each side by '1.2'. x = 1.2 Simplifying x = 1.2
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