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Simplifying 6x + -1(x + -7) = x + 15 Reorder the terms: 6x + -1(-7 + x) = x + 15 6x + (-7 * -1 + x * -1) = x + 15 6x + (7 + -1x) = x + 15 Reorder the terms: 7 + 6x + -1x = x + 15 Combine like terms: 6x + -1x = 5x 7 + 5x = x + 15 Reorder the terms: 7 + 5x = 15 + x Solving 7 + 5x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 5x + -1x = 15 + x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x = 15 + x + -1x Combine like terms: x + -1x = 0 7 + 4x = 15 + 0 7 + 4x = 15 Add '-7' to each side of the equation. 7 + -7 + 4x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 15 + -7 4x = 15 + -7 Combine like terms: 15 + -7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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