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Simplifying 4x + -7 = 6x + 21 Reorder the terms: -7 + 4x = 6x + 21 Reorder the terms: -7 + 4x = 21 + 6x Solving -7 + 4x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 4x + -6x = 21 + 6x + -6x Combine like terms: 4x + -6x = -2x -7 + -2x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -2x = 21 + 0 -7 + -2x = 21 Add '7' to each side of the equation. -7 + 7 + -2x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 21 + 7 -2x = 21 + 7 Combine like terms: 21 + 7 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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