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Simplifying -3x + 7 = 4x + -21 Reorder the terms: 7 + -3x = 4x + -21 Reorder the terms: 7 + -3x = -21 + 4x Solving 7 + -3x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -3x + -4x = -21 + 4x + -4x Combine like terms: -3x + -4x = -7x 7 + -7x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -7x = -21 + 0 7 + -7x = -21 Add '-7' to each side of the equation. 7 + -7 + -7x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -21 + -7 -7x = -21 + -7 Combine like terms: -21 + -7 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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