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Simplifying 8x + 10 = 2(7x + 11) Reorder the terms: 10 + 8x = 2(7x + 11) Reorder the terms: 10 + 8x = 2(11 + 7x) 10 + 8x = (11 * 2 + 7x * 2) 10 + 8x = (22 + 14x) Solving 10 + 8x = 22 + 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. 10 + 8x + -14x = 22 + 14x + -14x Combine like terms: 8x + -14x = -6x 10 + -6x = 22 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + -6x = 22 + 0 10 + -6x = 22 Add '-10' to each side of the equation. 10 + -10 + -6x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 22 + -10 -6x = 22 + -10 Combine like terms: 22 + -10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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