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Simplifying 3 + x = 7(5 + 5x) + -2x 3 + x = (5 * 7 + 5x * 7) + -2x 3 + x = (35 + 35x) + -2x Combine like terms: 35x + -2x = 33x 3 + x = 35 + 33x Solving 3 + x = 35 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 3 + x + -33x = 35 + 33x + -33x Combine like terms: x + -33x = -32x 3 + -32x = 35 + 33x + -33x Combine like terms: 33x + -33x = 0 3 + -32x = 35 + 0 3 + -32x = 35 Add '-3' to each side of the equation. 3 + -3 + -32x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + -32x = 35 + -3 -32x = 35 + -3 Combine like terms: 35 + -3 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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