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Simplifying 5(7 + 3x) = -7 + x (7 * 5 + 3x * 5) = -7 + x (35 + 15x) = -7 + x Solving 35 + 15x = -7 + 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. 35 + 15x + -1x = -7 + x + -1x Combine like terms: 15x + -1x = 14x 35 + 14x = -7 + x + -1x Combine like terms: x + -1x = 0 35 + 14x = -7 + 0 35 + 14x = -7 Add '-35' to each side of the equation. 35 + -35 + 14x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 14x = -7 + -35 14x = -7 + -35 Combine like terms: -7 + -35 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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