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Simplifying 7(x + -3) + 2x = 2(3x + 9) Reorder the terms: 7(-3 + x) + 2x = 2(3x + 9) (-3 * 7 + x * 7) + 2x = 2(3x + 9) (-21 + 7x) + 2x = 2(3x + 9) Combine like terms: 7x + 2x = 9x -21 + 9x = 2(3x + 9) Reorder the terms: -21 + 9x = 2(9 + 3x) -21 + 9x = (9 * 2 + 3x * 2) -21 + 9x = (18 + 6x) Solving -21 + 9x = 18 + 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. -21 + 9x + -6x = 18 + 6x + -6x Combine like terms: 9x + -6x = 3x -21 + 3x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 3x = 18 + 0 -21 + 3x = 18 Add '21' to each side of the equation. -21 + 21 + 3x = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 18 + 21 3x = 18 + 21 Combine like terms: 18 + 21 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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