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Simplifying 6x + -3(3x + 2) = 3(x + 7) Reorder the terms: 6x + -3(2 + 3x) = 3(x + 7) 6x + (2 * -3 + 3x * -3) = 3(x + 7) 6x + (-6 + -9x) = 3(x + 7) Reorder the terms: -6 + 6x + -9x = 3(x + 7) Combine like terms: 6x + -9x = -3x -6 + -3x = 3(x + 7) Reorder the terms: -6 + -3x = 3(7 + x) -6 + -3x = (7 * 3 + x * 3) -6 + -3x = (21 + 3x) Solving -6 + -3x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -3x + -3x = 21 + 3x + -3x Combine like terms: -3x + -3x = -6x -6 + -6x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -6x = 21 + 0 -6 + -6x = 21 Add '6' to each side of the equation. -6 + 6 + -6x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 21 + 6 -6x = 21 + 6 Combine like terms: 21 + 6 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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