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Simplifying 48 = 38x + 55(1 + -1x) 48 = 38x + (1 * 55 + -1x * 55) 48 = 38x + (55 + -55x) Reorder the terms: 48 = 55 + 38x + -55x Combine like terms: 38x + -55x = -17x 48 = 55 + -17x Solving 48 = 55 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 48 + 17x = 55 + -17x + 17x Combine like terms: -17x + 17x = 0 48 + 17x = 55 + 0 48 + 17x = 55 Add '-48' to each side of the equation. 48 + -48 + 17x = 55 + -48 Combine like terms: 48 + -48 = 0 0 + 17x = 55 + -48 17x = 55 + -48 Combine like terms: 55 + -48 = 7 17x = 7 Divide each side by '17'. x = 0.4117647059 Simplifying x = 0.4117647059
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