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Simplifying 7(x + -6) + 5 = 2(x + -6) Reorder the terms: 7(-6 + x) + 5 = 2(x + -6) (-6 * 7 + x * 7) + 5 = 2(x + -6) (-42 + 7x) + 5 = 2(x + -6) Reorder the terms: -42 + 5 + 7x = 2(x + -6) Combine like terms: -42 + 5 = -37 -37 + 7x = 2(x + -6) Reorder the terms: -37 + 7x = 2(-6 + x) -37 + 7x = (-6 * 2 + x * 2) -37 + 7x = (-12 + 2x) Solving -37 + 7x = -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. -37 + 7x + -2x = -12 + 2x + -2x Combine like terms: 7x + -2x = 5x -37 + 5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -37 + 5x = -12 + 0 -37 + 5x = -12 Add '37' to each side of the equation. -37 + 37 + 5x = -12 + 37 Combine like terms: -37 + 37 = 0 0 + 5x = -12 + 37 5x = -12 + 37 Combine like terms: -12 + 37 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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