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Simplifying 10(0.6x + 0.8) = 10(0.8x + -0.4) Reorder the terms: 10(0.8 + 0.6x) = 10(0.8x + -0.4) (0.8 * 10 + 0.6x * 10) = 10(0.8x + -0.4) (8 + 6x) = 10(0.8x + -0.4) Reorder the terms: 8 + 6x = 10(-0.4 + 0.8x) 8 + 6x = (-0.4 * 10 + 0.8x * 10) 8 + 6x = (-4 + 8x) Solving 8 + 6x = -4 + 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. 8 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x 8 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -2x = -4 + 0 8 + -2x = -4 Add '-8' to each side of the equation. 8 + -8 + -2x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -4 + -8 -2x = -4 + -8 Combine like terms: -4 + -8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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