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Simplifying 7(3 + -1x) + x = 35 + x (3 * 7 + -1x * 7) + x = 35 + x (21 + -7x) + x = 35 + x Combine like terms: -7x + x = -6x 21 + -6x = 35 + x Solving 21 + -6x = 35 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + -6x + -1x = 35 + x + -1x Combine like terms: -6x + -1x = -7x 21 + -7x = 35 + x + -1x Combine like terms: x + -1x = 0 21 + -7x = 35 + 0 21 + -7x = 35 Add '-21' to each side of the equation. 21 + -21 + -7x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 35 + -21 -7x = 35 + -21 Combine like terms: 35 + -21 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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