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Simplifying -61 = 5x + 2(x + -6) Reorder the terms: -61 = 5x + 2(-6 + x) -61 = 5x + (-6 * 2 + x * 2) -61 = 5x + (-12 + 2x) Reorder the terms: -61 = -12 + 5x + 2x Combine like terms: 5x + 2x = 7x -61 = -12 + 7x Solving -61 = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -61 + -7x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -61 + -7x = -12 + 0 -61 + -7x = -12 Add '61' to each side of the equation. -61 + 61 + -7x = -12 + 61 Combine like terms: -61 + 61 = 0 0 + -7x = -12 + 61 -7x = -12 + 61 Combine like terms: -12 + 61 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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