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Simplifying 6 = 2(x + -7) + 5x + -1 Reorder the terms: 6 = 2(-7 + x) + 5x + -1 6 = (-7 * 2 + x * 2) + 5x + -1 6 = (-14 + 2x) + 5x + -1 Reorder the terms: 6 = -14 + -1 + 2x + 5x Combine like terms: -14 + -1 = -15 6 = -15 + 2x + 5x Combine like terms: 2x + 5x = 7x 6 = -15 + 7x Solving 6 = -15 + 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 + -7x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -7x = -15 + 0 6 + -7x = -15 Add '-6' to each side of the equation. 6 + -6 + -7x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -15 + -6 -7x = -15 + -6 Combine like terms: -15 + -6 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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