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Simplifying 7(2x + 1) + -6(x + -5) = 2x + -12 Reorder the terms: 7(1 + 2x) + -6(x + -5) = 2x + -12 (1 * 7 + 2x * 7) + -6(x + -5) = 2x + -12 (7 + 14x) + -6(x + -5) = 2x + -12 Reorder the terms: 7 + 14x + -6(-5 + x) = 2x + -12 7 + 14x + (-5 * -6 + x * -6) = 2x + -12 7 + 14x + (30 + -6x) = 2x + -12 Reorder the terms: 7 + 30 + 14x + -6x = 2x + -12 Combine like terms: 7 + 30 = 37 37 + 14x + -6x = 2x + -12 Combine like terms: 14x + -6x = 8x 37 + 8x = 2x + -12 Reorder the terms: 37 + 8x = -12 + 2x Solving 37 + 8x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 37 + 8x + -2x = -12 + 2x + -2x Combine like terms: 8x + -2x = 6x 37 + 6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 37 + 6x = -12 + 0 37 + 6x = -12 Add '-37' to each side of the equation. 37 + -37 + 6x = -12 + -37 Combine like terms: 37 + -37 = 0 0 + 6x = -12 + -37 6x = -12 + -37 Combine like terms: -12 + -37 = -49 6x = -49 Divide each side by '6'. x = -8.166666667 Simplifying x = -8.166666667
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