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Simplifying 5x + 6 = 2 + 7(x + -2) Reorder the terms: 6 + 5x = 2 + 7(x + -2) Reorder the terms: 6 + 5x = 2 + 7(-2 + x) 6 + 5x = 2 + (-2 * 7 + x * 7) 6 + 5x = 2 + (-14 + 7x) Combine like terms: 2 + -14 = -12 6 + 5x = -12 + 7x Solving 6 + 5x = -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. 6 + 5x + -7x = -12 + 7x + -7x Combine like terms: 5x + -7x = -2x 6 + -2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -2x = -12 + 0 6 + -2x = -12 Add '-6' to each side of the equation. 6 + -6 + -2x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -12 + -6 -2x = -12 + -6 Combine like terms: -12 + -6 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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