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Simplifying 5(x + -7) + 6 = 2(x + -7) Reorder the terms: 5(-7 + x) + 6 = 2(x + -7) (-7 * 5 + x * 5) + 6 = 2(x + -7) (-35 + 5x) + 6 = 2(x + -7) Reorder the terms: -35 + 6 + 5x = 2(x + -7) Combine like terms: -35 + 6 = -29 -29 + 5x = 2(x + -7) Reorder the terms: -29 + 5x = 2(-7 + x) -29 + 5x = (-7 * 2 + x * 2) -29 + 5x = (-14 + 2x) Solving -29 + 5x = -14 + 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. -29 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x -29 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 3x = -14 + 0 -29 + 3x = -14 Add '29' to each side of the equation. -29 + 29 + 3x = -14 + 29 Combine like terms: -29 + 29 = 0 0 + 3x = -14 + 29 3x = -14 + 29 Combine like terms: -14 + 29 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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