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Simplifying 2(6 + 8x) + -7 = 5(5x + -3) + 1 (6 * 2 + 8x * 2) + -7 = 5(5x + -3) + 1 (12 + 16x) + -7 = 5(5x + -3) + 1 Reorder the terms: 12 + -7 + 16x = 5(5x + -3) + 1 Combine like terms: 12 + -7 = 5 5 + 16x = 5(5x + -3) + 1 Reorder the terms: 5 + 16x = 5(-3 + 5x) + 1 5 + 16x = (-3 * 5 + 5x * 5) + 1 5 + 16x = (-15 + 25x) + 1 Reorder the terms: 5 + 16x = -15 + 1 + 25x Combine like terms: -15 + 1 = -14 5 + 16x = -14 + 25x Solving 5 + 16x = -14 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 5 + 16x + -25x = -14 + 25x + -25x Combine like terms: 16x + -25x = -9x 5 + -9x = -14 + 25x + -25x Combine like terms: 25x + -25x = 0 5 + -9x = -14 + 0 5 + -9x = -14 Add '-5' to each side of the equation. 5 + -5 + -9x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -14 + -5 -9x = -14 + -5 Combine like terms: -14 + -5 = -19 -9x = -19 Divide each side by '-9'. x = 2.111111111 Simplifying x = 2.111111111
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