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Simplifying 5(0.4x + 4) = 2(4x + -5) + -2 Reorder the terms: 5(4 + 0.4x) = 2(4x + -5) + -2 (4 * 5 + 0.4x * 5) = 2(4x + -5) + -2 (20 + 2x) = 2(4x + -5) + -2 Reorder the terms: 20 + 2x = 2(-5 + 4x) + -2 20 + 2x = (-5 * 2 + 4x * 2) + -2 20 + 2x = (-10 + 8x) + -2 Reorder the terms: 20 + 2x = -10 + -2 + 8x Combine like terms: -10 + -2 = -12 20 + 2x = -12 + 8x Solving 20 + 2x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 2x + -8x = -12 + 8x + -8x Combine like terms: 2x + -8x = -6x 20 + -6x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -6x = -12 + 0 20 + -6x = -12 Add '-20' to each side of the equation. 20 + -20 + -6x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -12 + -20 -6x = -12 + -20 Combine like terms: -12 + -20 = -32 -6x = -32 Divide each side by '-6'. x = 5.333333333 Simplifying x = 5.333333333
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