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Simplifying 0.6(x + 20) + 0.8(x + -100) = 46 Reorder the terms: 0.6(20 + x) + 0.8(x + -100) = 46 (20 * 0.6 + x * 0.6) + 0.8(x + -100) = 46 (12 + 0.6x) + 0.8(x + -100) = 46 Reorder the terms: 12 + 0.6x + 0.8(-100 + x) = 46 12 + 0.6x + (-100 * 0.8 + x * 0.8) = 46 12 + 0.6x + (-80 + 0.8x) = 46 Reorder the terms: 12 + -80 + 0.6x + 0.8x = 46 Combine like terms: 12 + -80 = -68 -68 + 0.6x + 0.8x = 46 Combine like terms: 0.6x + 0.8x = 1.4x -68 + 1.4x = 46 Solving -68 + 1.4x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 1.4x = 46 + 68 Combine like terms: -68 + 68 = 0 0 + 1.4x = 46 + 68 1.4x = 46 + 68 Combine like terms: 46 + 68 = 114 1.4x = 114 Divide each side by '1.4'. x = 81.42857143 Simplifying x = 81.42857143
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