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Simplifying 0.4(x + -2) = 3(x + -3) Reorder the terms: 0.4(-2 + x) = 3(x + -3) (-2 * 0.4 + x * 0.4) = 3(x + -3) (-0.8 + 0.4x) = 3(x + -3) Reorder the terms: -0.8 + 0.4x = 3(-3 + x) -0.8 + 0.4x = (-3 * 3 + x * 3) -0.8 + 0.4x = (-9 + 3x) Solving -0.8 + 0.4x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -0.8 + 0.4x + -3x = -9 + 3x + -3x Combine like terms: 0.4x + -3x = -2.6x -0.8 + -2.6x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -0.8 + -2.6x = -9 + 0 -0.8 + -2.6x = -9 Add '0.8' to each side of the equation. -0.8 + 0.8 + -2.6x = -9 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -2.6x = -9 + 0.8 -2.6x = -9 + 0.8 Combine like terms: -9 + 0.8 = -8.2 -2.6x = -8.2 Divide each side by '-2.6'. x = 3.153846154 Simplifying x = 3.153846154
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