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Simplifying 3(x + -7) + 4x = 9(x + 2) Reorder the terms: 3(-7 + x) + 4x = 9(x + 2) (-7 * 3 + x * 3) + 4x = 9(x + 2) (-21 + 3x) + 4x = 9(x + 2) Combine like terms: 3x + 4x = 7x -21 + 7x = 9(x + 2) Reorder the terms: -21 + 7x = 9(2 + x) -21 + 7x = (2 * 9 + x * 9) -21 + 7x = (18 + 9x) Solving -21 + 7x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + 7x + -9x = 18 + 9x + -9x Combine like terms: 7x + -9x = -2x -21 + -2x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -2x = 18 + 0 -21 + -2x = 18 Add '21' to each side of the equation. -21 + 21 + -2x = 18 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 18 + 21 -2x = 18 + 21 Combine like terms: 18 + 21 = 39 -2x = 39 Divide each side by '-2'. x = -19.5 Simplifying x = -19.5
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