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Simplifying 8(x + 11) = 7(2x + 1) Reorder the terms: 8(11 + x) = 7(2x + 1) (11 * 8 + x * 8) = 7(2x + 1) (88 + 8x) = 7(2x + 1) Reorder the terms: 88 + 8x = 7(1 + 2x) 88 + 8x = (1 * 7 + 2x * 7) 88 + 8x = (7 + 14x) Solving 88 + 8x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 88 + 8x + -14x = 7 + 14x + -14x Combine like terms: 8x + -14x = -6x 88 + -6x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 88 + -6x = 7 + 0 88 + -6x = 7 Add '-88' to each side of the equation. 88 + -88 + -6x = 7 + -88 Combine like terms: 88 + -88 = 0 0 + -6x = 7 + -88 -6x = 7 + -88 Combine like terms: 7 + -88 = -81 -6x = -81 Divide each side by '-6'. x = 13.5 Simplifying x = 13.5
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