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Simplifying 6(x + 20) + 8(x + -10) = 46 Reorder the terms: 6(20 + x) + 8(x + -10) = 46 (20 * 6 + x * 6) + 8(x + -10) = 46 (120 + 6x) + 8(x + -10) = 46 Reorder the terms: 120 + 6x + 8(-10 + x) = 46 120 + 6x + (-10 * 8 + x * 8) = 46 120 + 6x + (-80 + 8x) = 46 Reorder the terms: 120 + -80 + 6x + 8x = 46 Combine like terms: 120 + -80 = 40 40 + 6x + 8x = 46 Combine like terms: 6x + 8x = 14x 40 + 14x = 46 Solving 40 + 14x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 14x = 46 + -40 Combine like terms: 40 + -40 = 0 0 + 14x = 46 + -40 14x = 46 + -40 Combine like terms: 46 + -40 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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