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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 = 47 47 + 7x = 2(x + -6) Reorder the terms: 47 + 7x = 2(-6 + x) 47 + 7x = (-6 * 2 + x * 2) 47 + 7x = (-12 + 2x) Solving 47 + 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. 47 + 7x + -2x = -12 + 2x + -2x Combine like terms: 7x + -2x = 5x 47 + 5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 47 + 5x = -12 + 0 47 + 5x = -12 Add '-47' to each side of the equation. 47 + -47 + 5x = -12 + -47 Combine like terms: 47 + -47 = 0 0 + 5x = -12 + -47 5x = -12 + -47 Combine like terms: -12 + -47 = -59 5x = -59 Divide each side by '5'. x = -11.8 Simplifying x = -11.8
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