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Simplifying 0.1(3x + -6) = (x + -2) + -0.5(2x + -4) Reorder the terms: 0.1(-6 + 3x) = (x + -2) + -0.5(2x + -4) (-6 * 0.1 + 3x * 0.1) = (x + -2) + -0.5(2x + -4) (-0.6 + 0.3x) = (x + -2) + -0.5(2x + -4) Reorder the terms: -0.6 + 0.3x = (-2 + x) + -0.5(2x + -4) Remove parenthesis around (-2 + x) -0.6 + 0.3x = -2 + x + -0.5(2x + -4) Reorder the terms: -0.6 + 0.3x = -2 + x + -0.5(-4 + 2x) -0.6 + 0.3x = -2 + x + (-4 * -0.5 + 2x * -0.5) -0.6 + 0.3x = -2 + x + (2 + -1x) Reorder the terms: -0.6 + 0.3x = -2 + 2 + x + -1x Combine like terms: -2 + 2 = 0 -0.6 + 0.3x = 0 + x + -1x -0.6 + 0.3x = x + -1x Combine like terms: x + -1x = 0 -0.6 + 0.3x = 0 Solving -0.6 + 0.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.3x = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.3x = 0 + 0.6 0.3x = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 0.3x = 0.6 Divide each side by '0.3'. x = 2 Simplifying x = 2
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