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Simplifying 2(x + 6) + -5(x + -7) = x + -11 Reorder the terms: 2(6 + x) + -5(x + -7) = x + -11 (6 * 2 + x * 2) + -5(x + -7) = x + -11 (12 + 2x) + -5(x + -7) = x + -11 Reorder the terms: 12 + 2x + -5(-7 + x) = x + -11 12 + 2x + (-7 * -5 + x * -5) = x + -11 12 + 2x + (35 + -5x) = x + -11 Reorder the terms: 12 + 35 + 2x + -5x = x + -11 Combine like terms: 12 + 35 = 47 47 + 2x + -5x = x + -11 Combine like terms: 2x + -5x = -3x 47 + -3x = x + -11 Reorder the terms: 47 + -3x = -11 + x Solving 47 + -3x = -11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 47 + -3x + -1x = -11 + x + -1x Combine like terms: -3x + -1x = -4x 47 + -4x = -11 + x + -1x Combine like terms: x + -1x = 0 47 + -4x = -11 + 0 47 + -4x = -11 Add '-47' to each side of the equation. 47 + -47 + -4x = -11 + -47 Combine like terms: 47 + -47 = 0 0 + -4x = -11 + -47 -4x = -11 + -47 Combine like terms: -11 + -47 = -58 -4x = -58 Divide each side by '-4'. x = 14.5 Simplifying x = 14.5
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