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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 = -9 6 + -5x = -9 + 2x Solving 6 + -5x = -9 + 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 = -9 + 2x + -2x Combine like terms: -5x + -2x = -7x 6 + -7x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -7x = -9 + 0 6 + -7x = -9 Add '-6' to each side of the equation. 6 + -6 + -7x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -9 + -6 -7x = -9 + -6 Combine like terms: -9 + -6 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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