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Simplifying 6(x + -1) + 7 = 7(8x + -7) Reorder the terms: 6(-1 + x) + 7 = 7(8x + -7) (-1 * 6 + x * 6) + 7 = 7(8x + -7) (-6 + 6x) + 7 = 7(8x + -7) Reorder the terms: -6 + 7 + 6x = 7(8x + -7) Combine like terms: -6 + 7 = 1 1 + 6x = 7(8x + -7) Reorder the terms: 1 + 6x = 7(-7 + 8x) 1 + 6x = (-7 * 7 + 8x * 7) 1 + 6x = (-49 + 56x) Solving 1 + 6x = -49 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 1 + 6x + -56x = -49 + 56x + -56x Combine like terms: 6x + -56x = -50x 1 + -50x = -49 + 56x + -56x Combine like terms: 56x + -56x = 0 1 + -50x = -49 + 0 1 + -50x = -49 Add '-1' to each side of the equation. 1 + -1 + -50x = -49 + -1 Combine like terms: 1 + -1 = 0 0 + -50x = -49 + -1 -50x = -49 + -1 Combine like terms: -49 + -1 = -50 -50x = -50 Divide each side by '-50'. x = 1 Simplifying x = 1
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