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Simplifying -2x + 7 + -6 = 5(x + -6) + 0 Reorder the terms: 7 + -6 + -2x = 5(x + -6) + 0 Combine like terms: 7 + -6 = 1 1 + -2x = 5(x + -6) + 0 Reorder the terms: 1 + -2x = 5(-6 + x) + 0 1 + -2x = (-6 * 5 + x * 5) + 0 1 + -2x = (-30 + 5x) + 0 Reorder the terms: 1 + -2x = -30 + 0 + 5x Combine like terms: -30 + 0 = -30 1 + -2x = -30 + 5x Solving 1 + -2x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -2x + -5x = -30 + 5x + -5x Combine like terms: -2x + -5x = -7x 1 + -7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -7x = -30 + 0 1 + -7x = -30 Add '-1' to each side of the equation. 1 + -1 + -7x = -30 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -30 + -1 -7x = -30 + -1 Combine like terms: -30 + -1 = -31 -7x = -31 Divide each side by '-7'. x = 4.428571429 Simplifying x = 4.428571429
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