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Simplifying 6(x + -7) + 15 = 3(x + -5) Reorder the terms: 6(-7 + x) + 15 = 3(x + -5) (-7 * 6 + x * 6) + 15 = 3(x + -5) (-42 + 6x) + 15 = 3(x + -5) Reorder the terms: -42 + 15 + 6x = 3(x + -5) Combine like terms: -42 + 15 = -27 -27 + 6x = 3(x + -5) Reorder the terms: -27 + 6x = 3(-5 + x) -27 + 6x = (-5 * 3 + x * 3) -27 + 6x = (-15 + 3x) Solving -27 + 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. -27 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x -27 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 3x = -15 + 0 -27 + 3x = -15 Add '27' to each side of the equation. -27 + 27 + 3x = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -15 + 27 3x = -15 + 27 Combine like terms: -15 + 27 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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