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Simplifying 7(-2x + 8) = 34 + x Reorder the terms: 7(8 + -2x) = 34 + x (8 * 7 + -2x * 7) = 34 + x (56 + -14x) = 34 + x Solving 56 + -14x = 34 + 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. 56 + -14x + -1x = 34 + x + -1x Combine like terms: -14x + -1x = -15x 56 + -15x = 34 + x + -1x Combine like terms: x + -1x = 0 56 + -15x = 34 + 0 56 + -15x = 34 Add '-56' to each side of the equation. 56 + -56 + -15x = 34 + -56 Combine like terms: 56 + -56 = 0 0 + -15x = 34 + -56 -15x = 34 + -56 Combine like terms: 34 + -56 = -22 -15x = -22 Divide each side by '-15'. x = 1.466666667 Simplifying x = 1.466666667
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