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Simplifying 0.1(2x + -3) + -0.4(4x + 1) = x Reorder the terms: 0.1(-3 + 2x) + -0.4(4x + 1) = x (-3 * 0.1 + 2x * 0.1) + -0.4(4x + 1) = x (-0.3 + 0.2x) + -0.4(4x + 1) = x Reorder the terms: -0.3 + 0.2x + -0.4(1 + 4x) = x -0.3 + 0.2x + (1 * -0.4 + 4x * -0.4) = x -0.3 + 0.2x + (-0.4 + -1.6x) = x Reorder the terms: -0.3 + -0.4 + 0.2x + -1.6x = x Combine like terms: -0.3 + -0.4 = -0.7 -0.7 + 0.2x + -1.6x = x Combine like terms: 0.2x + -1.6x = -1.4x -0.7 + -1.4x = x Solving -0.7 + -1.4x = x 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. -0.7 + -1.4x + -1x = x + -1x Combine like terms: -1.4x + -1x = -2.4x -0.7 + -2.4x = x + -1x Combine like terms: x + -1x = 0 -0.7 + -2.4x = 0 Add '0.7' to each side of the equation. -0.7 + 0.7 + -2.4x = 0 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + -2.4x = 0 + 0.7 -2.4x = 0 + 0.7 Combine like terms: 0 + 0.7 = 0.7 -2.4x = 0.7 Divide each side by '-2.4'. x = -0.2916666667 Simplifying x = -0.2916666667
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