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Simplifying x(20) + (48 + -1x)(40) = (35)(48) Reorder the terms for easier multiplication: 20x + (48 + -1x)(40) = (35)(48) Reorder the terms for easier multiplication: 20x + 40(48 + -1x) = (35)(48) 20x + (48 * 40 + -1x * 40) = (35)(48) 20x + (1920 + -40x) = (35)(48) Reorder the terms: 1920 + 20x + -40x = (35)(48) Combine like terms: 20x + -40x = -20x 1920 + -20x = (35)(48) Multiply 35 * 48 1920 + -20x = 1680 Solving 1920 + -20x = 1680 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1920' to each side of the equation. 1920 + -1920 + -20x = 1680 + -1920 Combine like terms: 1920 + -1920 = 0 0 + -20x = 1680 + -1920 -20x = 1680 + -1920 Combine like terms: 1680 + -1920 = -240 -20x = -240 Divide each side by '-20'. x = 12 Simplifying x = 12
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