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Simplifying 5(x + -7) + 5 = 3(x + -6) Reorder the terms: 5(-7 + x) + 5 = 3(x + -6) (-7 * 5 + x * 5) + 5 = 3(x + -6) (-35 + 5x) + 5 = 3(x + -6) Reorder the terms: -35 + 5 + 5x = 3(x + -6) Combine like terms: -35 + 5 = -30 -30 + 5x = 3(x + -6) Reorder the terms: -30 + 5x = 3(-6 + x) -30 + 5x = (-6 * 3 + x * 3) -30 + 5x = (-18 + 3x) Solving -30 + 5x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x -30 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 2x = -18 + 0 -30 + 2x = -18 Add '30' to each side of the equation. -30 + 30 + 2x = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -18 + 30 2x = -18 + 30 Combine like terms: -18 + 30 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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