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Simplifying 2x + 25x + -2 = 7(4x + 5) Reorder the terms: -2 + 2x + 25x = 7(4x + 5) Combine like terms: 2x + 25x = 27x -2 + 27x = 7(4x + 5) Reorder the terms: -2 + 27x = 7(5 + 4x) -2 + 27x = (5 * 7 + 4x * 7) -2 + 27x = (35 + 28x) Solving -2 + 27x = 35 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -2 + 27x + -28x = 35 + 28x + -28x Combine like terms: 27x + -28x = -1x -2 + -1x = 35 + 28x + -28x Combine like terms: 28x + -28x = 0 -2 + -1x = 35 + 0 -2 + -1x = 35 Add '2' to each side of the equation. -2 + 2 + -1x = 35 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 35 + 2 -1x = 35 + 2 Combine like terms: 35 + 2 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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