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Simplifying 6(x + -7) + 7 = 6x + -7(7 + -1x) Reorder the terms: 6(-7 + x) + 7 = 6x + -7(7 + -1x) (-7 * 6 + x * 6) + 7 = 6x + -7(7 + -1x) (-42 + 6x) + 7 = 6x + -7(7 + -1x) Reorder the terms: -42 + 7 + 6x = 6x + -7(7 + -1x) Combine like terms: -42 + 7 = -35 -35 + 6x = 6x + -7(7 + -1x) -35 + 6x = 6x + (7 * -7 + -1x * -7) -35 + 6x = 6x + (-49 + 7x) Reorder the terms: -35 + 6x = -49 + 6x + 7x Combine like terms: 6x + 7x = 13x -35 + 6x = -49 + 13x Solving -35 + 6x = -49 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -35 + 6x + -13x = -49 + 13x + -13x Combine like terms: 6x + -13x = -7x -35 + -7x = -49 + 13x + -13x Combine like terms: 13x + -13x = 0 -35 + -7x = -49 + 0 -35 + -7x = -49 Add '35' to each side of the equation. -35 + 35 + -7x = -49 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = -49 + 35 -7x = -49 + 35 Combine like terms: -49 + 35 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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