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Simplifying 5(x + -7) + 5 = 2(x + -6) Reorder the terms: 5(-7 + x) + 5 = 2(x + -6) (-7 * 5 + x * 5) + 5 = 2(x + -6) (-35 + 5x) + 5 = 2(x + -6) Reorder the terms: -35 + 5 + 5x = 2(x + -6) Combine like terms: -35 + 5 = -30 -30 + 5x = 2(x + -6) Reorder the terms: -30 + 5x = 2(-6 + x) -30 + 5x = (-6 * 2 + x * 2) -30 + 5x = (-12 + 2x) Solving -30 + 5x = -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. -30 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x -30 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 3x = -12 + 0 -30 + 3x = -12 Add '30' to each side of the equation. -30 + 30 + 3x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -12 + 30 3x = -12 + 30 Combine like terms: -12 + 30 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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