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Simplifying 0.80x + 0.5(12 + -1x) = 0.10(-69) 0.80x + (12 * 0.5 + -1x * 0.5) = 0.10(-69) 0.80x + (6 + -0.5x) = 0.10(-69) Reorder the terms: 6 + 0.80x + -0.5x = 0.10(-69) Combine like terms: 0.80x + -0.5x = 0.3x 6 + 0.3x = 0.10(-69) Multiply 0.10 * -69 6 + 0.3x = -6.9 Solving 6 + 0.3x = -6.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.3x = -6.9 + -6 Combine like terms: 6 + -6 = 0 0 + 0.3x = -6.9 + -6 0.3x = -6.9 + -6 Combine like terms: -6.9 + -6 = -12.9 0.3x = -12.9 Divide each side by '0.3'. x = -43 Simplifying x = -43
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