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Simplifying 7(x + -6) + 2(x + -7) = 5(x + -4) Reorder the terms: 7(-6 + x) + 2(x + -7) = 5(x + -4) (-6 * 7 + x * 7) + 2(x + -7) = 5(x + -4) (-42 + 7x) + 2(x + -7) = 5(x + -4) Reorder the terms: -42 + 7x + 2(-7 + x) = 5(x + -4) -42 + 7x + (-7 * 2 + x * 2) = 5(x + -4) -42 + 7x + (-14 + 2x) = 5(x + -4) Reorder the terms: -42 + -14 + 7x + 2x = 5(x + -4) Combine like terms: -42 + -14 = -56 -56 + 7x + 2x = 5(x + -4) Combine like terms: 7x + 2x = 9x -56 + 9x = 5(x + -4) Reorder the terms: -56 + 9x = 5(-4 + x) -56 + 9x = (-4 * 5 + x * 5) -56 + 9x = (-20 + 5x) Solving -56 + 9x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -56 + 9x + -5x = -20 + 5x + -5x Combine like terms: 9x + -5x = 4x -56 + 4x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 4x = -20 + 0 -56 + 4x = -20 Add '56' to each side of the equation. -56 + 56 + 4x = -20 + 56 Combine like terms: -56 + 56 = 0 0 + 4x = -20 + 56 4x = -20 + 56 Combine like terms: -20 + 56 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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