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Simplifying 3(x + 7) + -2x = 4x + -9 + 7x Reorder the terms: 3(7 + x) + -2x = 4x + -9 + 7x (7 * 3 + x * 3) + -2x = 4x + -9 + 7x (21 + 3x) + -2x = 4x + -9 + 7x Combine like terms: 3x + -2x = 1x 21 + 1x = 4x + -9 + 7x Reorder the terms: 21 + 1x = -9 + 4x + 7x Combine like terms: 4x + 7x = 11x 21 + 1x = -9 + 11x Solving 21 + 1x = -9 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 21 + 1x + -11x = -9 + 11x + -11x Combine like terms: 1x + -11x = -10x 21 + -10x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 21 + -10x = -9 + 0 21 + -10x = -9 Add '-21' to each side of the equation. 21 + -21 + -10x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = -9 + -21 -10x = -9 + -21 Combine like terms: -9 + -21 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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