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Simplifying 0.5(2x + 8) = 0.4(10x + -9) Reorder the terms: 0.5(8 + 2x) = 0.4(10x + -9) (8 * 0.5 + 2x * 0.5) = 0.4(10x + -9) (4 + 1x) = 0.4(10x + -9) Reorder the terms: 4 + 1x = 0.4(-9 + 10x) 4 + 1x = (-9 * 0.4 + 10x * 0.4) 4 + 1x = (-3.6 + 4x) Solving 4 + 1x = -3.6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 1x + -4x = -3.6 + 4x + -4x Combine like terms: 1x + -4x = -3x 4 + -3x = -3.6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -3x = -3.6 + 0 4 + -3x = -3.6 Add '-4' to each side of the equation. 4 + -4 + -3x = -3.6 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -3.6 + -4 -3x = -3.6 + -4 Combine like terms: -3.6 + -4 = -7.6 -3x = -7.6 Divide each side by '-3'. x = 2.533333333 Simplifying x = 2.533333333
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