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Simplifying 2(11 + 5x) + -3(27 + -16x) = 57 (11 * 2 + 5x * 2) + -3(27 + -16x) = 57 (22 + 10x) + -3(27 + -16x) = 57 22 + 10x + (27 * -3 + -16x * -3) = 57 22 + 10x + (-81 + 48x) = 57 Reorder the terms: 22 + -81 + 10x + 48x = 57 Combine like terms: 22 + -81 = -59 -59 + 10x + 48x = 57 Combine like terms: 10x + 48x = 58x -59 + 58x = 57 Solving -59 + 58x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 58x = 57 + 59 Combine like terms: -59 + 59 = 0 0 + 58x = 57 + 59 58x = 57 + 59 Combine like terms: 57 + 59 = 116 58x = 116 Divide each side by '58'. x = 2 Simplifying x = 2
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