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Simplifying 0.5(4x + 4) + -6 = -0.6(40x + -30) Reorder the terms: 0.5(4 + 4x) + -6 = -0.6(40x + -30) (4 * 0.5 + 4x * 0.5) + -6 = -0.6(40x + -30) (2 + 2x) + -6 = -0.6(40x + -30) Reorder the terms: 2 + -6 + 2x = -0.6(40x + -30) Combine like terms: 2 + -6 = -4 -4 + 2x = -0.6(40x + -30) Reorder the terms: -4 + 2x = -0.6(-30 + 40x) -4 + 2x = (-30 * -0.6 + 40x * -0.6) -4 + 2x = (18 + -24x) Solving -4 + 2x = 18 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -4 + 2x + 24x = 18 + -24x + 24x Combine like terms: 2x + 24x = 26x -4 + 26x = 18 + -24x + 24x Combine like terms: -24x + 24x = 0 -4 + 26x = 18 + 0 -4 + 26x = 18 Add '4' to each side of the equation. -4 + 4 + 26x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 26x = 18 + 4 26x = 18 + 4 Combine like terms: 18 + 4 = 22 26x = 22 Divide each side by '26'. x = 0.8461538462 Simplifying x = 0.8461538462
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