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Simplifying 4x + 6 = -7 + 2x + 17 Reorder the terms: 6 + 4x = -7 + 2x + 17 Reorder the terms: 6 + 4x = -7 + 17 + 2x Combine like terms: -7 + 17 = 10 6 + 4x = 10 + 2x Solving 6 + 4x = 10 + 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 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = 10 + 0 6 + 2x = 10 Add '-6' to each side of the equation. 6 + -6 + 2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 10 + -6 2x = 10 + -6 Combine like terms: 10 + -6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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