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Simplifying 0.6(x + -4) = 0.5(2x + -6) Reorder the terms: 0.6(-4 + x) = 0.5(2x + -6) (-4 * 0.6 + x * 0.6) = 0.5(2x + -6) (-2.4 + 0.6x) = 0.5(2x + -6) Reorder the terms: -2.4 + 0.6x = 0.5(-6 + 2x) -2.4 + 0.6x = (-6 * 0.5 + 2x * 0.5) -2.4 + 0.6x = (-3 + 1x) Solving -2.4 + 0.6x = -3 + 1x 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. -2.4 + 0.6x + -1x = -3 + 1x + -1x Combine like terms: 0.6x + -1x = -0.4x -2.4 + -0.4x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -2.4 + -0.4x = -3 + 0 -2.4 + -0.4x = -3 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.4x = -3 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.4x = -3 + 2.4 -0.4x = -3 + 2.4 Combine like terms: -3 + 2.4 = -0.6 -0.4x = -0.6 Divide each side by '-0.4'. x = 1.5 Simplifying x = 1.5
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