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Simplifying 6(x + -7) + 12 = 3(x + -5) Reorder the terms: 6(-7 + x) + 12 = 3(x + -5) (-7 * 6 + x * 6) + 12 = 3(x + -5) (-42 + 6x) + 12 = 3(x + -5) Reorder the terms: -42 + 12 + 6x = 3(x + -5) Combine like terms: -42 + 12 = -30 -30 + 6x = 3(x + -5) Reorder the terms: -30 + 6x = 3(-5 + x) -30 + 6x = (-5 * 3 + x * 3) -30 + 6x = (-15 + 3x) Solving -30 + 6x = -15 + 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 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x -30 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 3x = -15 + 0 -30 + 3x = -15 Add '30' to each side of the equation. -30 + 30 + 3x = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -15 + 30 3x = -15 + 30 Combine like terms: -15 + 30 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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