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Simplifying -6(x + -1) + 20x = 7(x + 1) + -15 Reorder the terms: -6(-1 + x) + 20x = 7(x + 1) + -15 (-1 * -6 + x * -6) + 20x = 7(x + 1) + -15 (6 + -6x) + 20x = 7(x + 1) + -15 Combine like terms: -6x + 20x = 14x 6 + 14x = 7(x + 1) + -15 Reorder the terms: 6 + 14x = 7(1 + x) + -15 6 + 14x = (1 * 7 + x * 7) + -15 6 + 14x = (7 + 7x) + -15 Reorder the terms: 6 + 14x = 7 + -15 + 7x Combine like terms: 7 + -15 = -8 6 + 14x = -8 + 7x Solving 6 + 14x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 14x + -7x = -8 + 7x + -7x Combine like terms: 14x + -7x = 7x 6 + 7x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 7x = -8 + 0 6 + 7x = -8 Add '-6' to each side of the equation. 6 + -6 + 7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -8 + -6 7x = -8 + -6 Combine like terms: -8 + -6 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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