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Simplifying 2(x + -5) + 7(2x + 5) = 10x + 11 Reorder the terms: 2(-5 + x) + 7(2x + 5) = 10x + 11 (-5 * 2 + x * 2) + 7(2x + 5) = 10x + 11 (-10 + 2x) + 7(2x + 5) = 10x + 11 Reorder the terms: -10 + 2x + 7(5 + 2x) = 10x + 11 -10 + 2x + (5 * 7 + 2x * 7) = 10x + 11 -10 + 2x + (35 + 14x) = 10x + 11 Reorder the terms: -10 + 35 + 2x + 14x = 10x + 11 Combine like terms: -10 + 35 = 25 25 + 2x + 14x = 10x + 11 Combine like terms: 2x + 14x = 16x 25 + 16x = 10x + 11 Reorder the terms: 25 + 16x = 11 + 10x Solving 25 + 16x = 11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 25 + 16x + -10x = 11 + 10x + -10x Combine like terms: 16x + -10x = 6x 25 + 6x = 11 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + 6x = 11 + 0 25 + 6x = 11 Add '-25' to each side of the equation. 25 + -25 + 6x = 11 + -25 Combine like terms: 25 + -25 = 0 0 + 6x = 11 + -25 6x = 11 + -25 Combine like terms: 11 + -25 = -14 6x = -14 Divide each side by '6'. x = -2.333333333 Simplifying x = -2.333333333
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