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Simplifying 7(7 + -2x) + 8(6x + 4) = 15 (7 * 7 + -2x * 7) + 8(6x + 4) = 15 (49 + -14x) + 8(6x + 4) = 15 Reorder the terms: 49 + -14x + 8(4 + 6x) = 15 49 + -14x + (4 * 8 + 6x * 8) = 15 49 + -14x + (32 + 48x) = 15 Reorder the terms: 49 + 32 + -14x + 48x = 15 Combine like terms: 49 + 32 = 81 81 + -14x + 48x = 15 Combine like terms: -14x + 48x = 34x 81 + 34x = 15 Solving 81 + 34x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 34x = 15 + -81 Combine like terms: 81 + -81 = 0 0 + 34x = 15 + -81 34x = 15 + -81 Combine like terms: 15 + -81 = -66 34x = -66 Divide each side by '34'. x = -1.941176471 Simplifying x = -1.941176471
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