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Simplifying -5x + 6 = 2(x + 5) + 1 Reorder the terms: 6 + -5x = 2(x + 5) + 1 Reorder the terms: 6 + -5x = 2(5 + x) + 1 6 + -5x = (5 * 2 + x * 2) + 1 6 + -5x = (10 + 2x) + 1 Reorder the terms: 6 + -5x = 10 + 1 + 2x Combine like terms: 10 + 1 = 11 6 + -5x = 11 + 2x Solving 6 + -5x = 11 + 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. 6 + -5x + -2x = 11 + 2x + -2x Combine like terms: -5x + -2x = -7x 6 + -7x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -7x = 11 + 0 6 + -7x = 11 Add '-6' to each side of the equation. 6 + -6 + -7x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 11 + -6 -7x = 11 + -6 Combine like terms: 11 + -6 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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