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Simplifying 126 + -1(6x + 6) = 6(x + 7) + x Reorder the terms: 126 + -1(6 + 6x) = 6(x + 7) + x 126 + (6 * -1 + 6x * -1) = 6(x + 7) + x 126 + (-6 + -6x) = 6(x + 7) + x Combine like terms: 126 + -6 = 120 120 + -6x = 6(x + 7) + x Reorder the terms: 120 + -6x = 6(7 + x) + x 120 + -6x = (7 * 6 + x * 6) + x 120 + -6x = (42 + 6x) + x Combine like terms: 6x + x = 7x 120 + -6x = 42 + 7x Solving 120 + -6x = 42 + 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. 120 + -6x + -7x = 42 + 7x + -7x Combine like terms: -6x + -7x = -13x 120 + -13x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 120 + -13x = 42 + 0 120 + -13x = 42 Add '-120' to each side of the equation. 120 + -120 + -13x = 42 + -120 Combine like terms: 120 + -120 = 0 0 + -13x = 42 + -120 -13x = 42 + -120 Combine like terms: 42 + -120 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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