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Simplifying 0.8(x + 0.67) = -0.16(x + -0.4) Reorder the terms: 0.8(0.67 + x) = -0.16(x + -0.4) (0.67 * 0.8 + x * 0.8) = -0.16(x + -0.4) (0.536 + 0.8x) = -0.16(x + -0.4) Reorder the terms: 0.536 + 0.8x = -0.16(-0.4 + x) 0.536 + 0.8x = (-0.4 * -0.16 + x * -0.16) 0.536 + 0.8x = (0.064 + -0.16x) Solving 0.536 + 0.8x = 0.064 + -0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.16x' to each side of the equation. 0.536 + 0.8x + 0.16x = 0.064 + -0.16x + 0.16x Combine like terms: 0.8x + 0.16x = 0.96x 0.536 + 0.96x = 0.064 + -0.16x + 0.16x Combine like terms: -0.16x + 0.16x = 0.00 0.536 + 0.96x = 0.064 + 0.00 0.536 + 0.96x = 0.064 Add '-0.536' to each side of the equation. 0.536 + -0.536 + 0.96x = 0.064 + -0.536 Combine like terms: 0.536 + -0.536 = 0.000 0.000 + 0.96x = 0.064 + -0.536 0.96x = 0.064 + -0.536 Combine like terms: 0.064 + -0.536 = -0.472 0.96x = -0.472 Divide each side by '0.96'. x = -0.4916666667 Simplifying x = -0.4916666667
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