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Simplifying 7(2x + 1) = x + -84 Reorder the terms: 7(1 + 2x) = x + -84 (1 * 7 + 2x * 7) = x + -84 (7 + 14x) = x + -84 Reorder the terms: 7 + 14x = -84 + x Solving 7 + 14x = -84 + 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. 7 + 14x + -1x = -84 + x + -1x Combine like terms: 14x + -1x = 13x 7 + 13x = -84 + x + -1x Combine like terms: x + -1x = 0 7 + 13x = -84 + 0 7 + 13x = -84 Add '-7' to each side of the equation. 7 + -7 + 13x = -84 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = -84 + -7 13x = -84 + -7 Combine like terms: -84 + -7 = -91 13x = -91 Divide each side by '13'. x = -7 Simplifying x = -7
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