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Simplifying 0.1(2x + -3) + -0.4(4x + 1) = 0 Reorder the terms: 0.1(-3 + 2x) + -0.4(4x + 1) = 0 (-3 * 0.1 + 2x * 0.1) + -0.4(4x + 1) = 0 (-0.3 + 0.2x) + -0.4(4x + 1) = 0 Reorder the terms: -0.3 + 0.2x + -0.4(1 + 4x) = 0 -0.3 + 0.2x + (1 * -0.4 + 4x * -0.4) = 0 -0.3 + 0.2x + (-0.4 + -1.6x) = 0 Reorder the terms: -0.3 + -0.4 + 0.2x + -1.6x = 0 Combine like terms: -0.3 + -0.4 = -0.7 -0.7 + 0.2x + -1.6x = 0 Combine like terms: 0.2x + -1.6x = -1.4x -0.7 + -1.4x = 0 Solving -0.7 + -1.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7' to each side of the equation. -0.7 + 0.7 + -1.4x = 0 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + -1.4x = 0 + 0.7 -1.4x = 0 + 0.7 Combine like terms: 0 + 0.7 = 0.7 -1.4x = 0.7 Divide each side by '-1.4'. x = -0.5 Simplifying x = -0.5
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