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Simplifying 7x + 21 = 3x + -2(x + 3) Reorder the terms: 21 + 7x = 3x + -2(x + 3) Reorder the terms: 21 + 7x = 3x + -2(3 + x) 21 + 7x = 3x + (3 * -2 + x * -2) 21 + 7x = 3x + (-6 + -2x) Reorder the terms: 21 + 7x = -6 + 3x + -2x Combine like terms: 3x + -2x = 1x 21 + 7x = -6 + 1x Solving 21 + 7x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + 7x + -1x = -6 + 1x + -1x Combine like terms: 7x + -1x = 6x 21 + 6x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 21 + 6x = -6 + 0 21 + 6x = -6 Add '-21' to each side of the equation. 21 + -21 + 6x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = -6 + -21 6x = -6 + -21 Combine like terms: -6 + -21 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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