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Simplifying 4x + 7 = -6 + 2x + 21 Reorder the terms: 7 + 4x = -6 + 2x + 21 Reorder the terms: 7 + 4x = -6 + 21 + 2x Combine like terms: -6 + 21 = 15 7 + 4x = 15 + 2x Solving 7 + 4x = 15 + 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. 7 + 4x + -2x = 15 + 2x + -2x Combine like terms: 4x + -2x = 2x 7 + 2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 2x = 15 + 0 7 + 2x = 15 Add '-7' to each side of the equation. 7 + -7 + 2x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 15 + -7 2x = 15 + -7 Combine like terms: 15 + -7 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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