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Simplifying 3(-5x + 7) + (14x + -6) = 8 Reorder the terms: 3(7 + -5x) + (14x + -6) = 8 (7 * 3 + -5x * 3) + (14x + -6) = 8 (21 + -15x) + (14x + -6) = 8 Reorder the terms: 21 + -15x + (-6 + 14x) = 8 Remove parenthesis around (-6 + 14x) 21 + -15x + -6 + 14x = 8 Reorder the terms: 21 + -6 + -15x + 14x = 8 Combine like terms: 21 + -6 = 15 15 + -15x + 14x = 8 Combine like terms: -15x + 14x = -1x 15 + -1x = 8 Solving 15 + -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 8 + -15 -1x = 8 + -15 Combine like terms: 8 + -15 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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