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Simplifying 0.1x + -0.4(4 + -3x) = -0.5(x + -4) 0.1x + (4 * -0.4 + -3x * -0.4) = -0.5(x + -4) 0.1x + (-1.6 + 1.2x) = -0.5(x + -4) Reorder the terms: -1.6 + 0.1x + 1.2x = -0.5(x + -4) Combine like terms: 0.1x + 1.2x = 1.3x -1.6 + 1.3x = -0.5(x + -4) Reorder the terms: -1.6 + 1.3x = -0.5(-4 + x) -1.6 + 1.3x = (-4 * -0.5 + x * -0.5) -1.6 + 1.3x = (2 + -0.5x) Solving -1.6 + 1.3x = 2 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -1.6 + 1.3x + 0.5x = 2 + -0.5x + 0.5x Combine like terms: 1.3x + 0.5x = 1.8x -1.6 + 1.8x = 2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1.6 + 1.8x = 2 + 0.0 -1.6 + 1.8x = 2 Add '1.6' to each side of the equation. -1.6 + 1.6 + 1.8x = 2 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 1.8x = 2 + 1.6 1.8x = 2 + 1.6 Combine like terms: 2 + 1.6 = 3.6 1.8x = 3.6 Divide each side by '1.8'. x = 2 Simplifying x = 2
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