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Simplifying 6x + -1x = -6(2 + x) + 5(x + -6) Combine like terms: 6x + -1x = 5x 5x = -6(2 + x) + 5(x + -6) 5x = (2 * -6 + x * -6) + 5(x + -6) 5x = (-12 + -6x) + 5(x + -6) Reorder the terms: 5x = -12 + -6x + 5(-6 + x) 5x = -12 + -6x + (-6 * 5 + x * 5) 5x = -12 + -6x + (-30 + 5x) Reorder the terms: 5x = -12 + -30 + -6x + 5x Combine like terms: -12 + -30 = -42 5x = -42 + -6x + 5x Combine like terms: -6x + 5x = -1x 5x = -42 + -1x Solving 5x = -42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5x + x = -42 + -1x + x Combine like terms: 5x + x = 6x 6x = -42 + -1x + x Combine like terms: -1x + x = 0 6x = -42 + 0 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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