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Simplifying 8(7x + 5) + 2x = -12 + 6x Reorder the terms: 8(5 + 7x) + 2x = -12 + 6x (5 * 8 + 7x * 8) + 2x = -12 + 6x (40 + 56x) + 2x = -12 + 6x Combine like terms: 56x + 2x = 58x 40 + 58x = -12 + 6x Solving 40 + 58x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + 58x + -6x = -12 + 6x + -6x Combine like terms: 58x + -6x = 52x 40 + 52x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 52x = -12 + 0 40 + 52x = -12 Add '-40' to each side of the equation. 40 + -40 + 52x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 52x = -12 + -40 52x = -12 + -40 Combine like terms: -12 + -40 = -52 52x = -52 Divide each side by '52'. x = -1 Simplifying x = -1
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