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Simplifying 10 + 2x = 7(4x + 5) + -1x Reorder the terms: 10 + 2x = 7(5 + 4x) + -1x 10 + 2x = (5 * 7 + 4x * 7) + -1x 10 + 2x = (35 + 28x) + -1x Combine like terms: 28x + -1x = 27x 10 + 2x = 35 + 27x Solving 10 + 2x = 35 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 10 + 2x + -27x = 35 + 27x + -27x Combine like terms: 2x + -27x = -25x 10 + -25x = 35 + 27x + -27x Combine like terms: 27x + -27x = 0 10 + -25x = 35 + 0 10 + -25x = 35 Add '-10' to each side of the equation. 10 + -10 + -25x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + -25x = 35 + -10 -25x = 35 + -10 Combine like terms: 35 + -10 = 25 -25x = 25 Divide each side by '-25'. x = -1 Simplifying x = -1
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