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Simplifying 0.1x + -0.4(13 + -3x) = -0.6(x + -4) 0.1x + (13 * -0.4 + -3x * -0.4) = -0.6(x + -4) 0.1x + (-5.2 + 1.2x) = -0.6(x + -4) Reorder the terms: -5.2 + 0.1x + 1.2x = -0.6(x + -4) Combine like terms: 0.1x + 1.2x = 1.3x -5.2 + 1.3x = -0.6(x + -4) Reorder the terms: -5.2 + 1.3x = -0.6(-4 + x) -5.2 + 1.3x = (-4 * -0.6 + x * -0.6) -5.2 + 1.3x = (2.4 + -0.6x) Solving -5.2 + 1.3x = 2.4 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -5.2 + 1.3x + 0.6x = 2.4 + -0.6x + 0.6x Combine like terms: 1.3x + 0.6x = 1.9x -5.2 + 1.9x = 2.4 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -5.2 + 1.9x = 2.4 + 0.0 -5.2 + 1.9x = 2.4 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1.9x = 2.4 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1.9x = 2.4 + 5.2 1.9x = 2.4 + 5.2 Combine like terms: 2.4 + 5.2 = 7.6 1.9x = 7.6 Divide each side by '1.9'. x = 4 Simplifying x = 4
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