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Simplifying 7(x + -7) + 7 = 2(x + -6) Reorder the terms: 7(-7 + x) + 7 = 2(x + -6) (-7 * 7 + x * 7) + 7 = 2(x + -6) (-49 + 7x) + 7 = 2(x + -6) Reorder the terms: -49 + 7 + 7x = 2(x + -6) Combine like terms: -49 + 7 = -42 -42 + 7x = 2(x + -6) Reorder the terms: -42 + 7x = 2(-6 + x) -42 + 7x = (-6 * 2 + x * 2) -42 + 7x = (-12 + 2x) Solving -42 + 7x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 7x + -2x = -12 + 2x + -2x Combine like terms: 7x + -2x = 5x -42 + 5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 5x = -12 + 0 -42 + 5x = -12 Add '42' to each side of the equation. -42 + 42 + 5x = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = -12 + 42 5x = -12 + 42 Combine like terms: -12 + 42 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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