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Simplifying 6x + -3(3x + 2) = (x + 7) Reorder the terms: 6x + -3(2 + 3x) = (x + 7) 6x + (2 * -3 + 3x * -3) = (x + 7) 6x + (-6 + -9x) = (x + 7) Reorder the terms: -6 + 6x + -9x = (x + 7) Combine like terms: 6x + -9x = -3x -6 + -3x = (x + 7) Reorder the terms: -6 + -3x = (7 + x) Remove parenthesis around (7 + x) -6 + -3x = 7 + x Solving -6 + -3x = 7 + x 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. -6 + -3x + -1x = 7 + x + -1x Combine like terms: -3x + -1x = -4x -6 + -4x = 7 + x + -1x Combine like terms: x + -1x = 0 -6 + -4x = 7 + 0 -6 + -4x = 7 Add '6' to each side of the equation. -6 + 6 + -4x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 7 + 6 -4x = 7 + 6 Combine like terms: 7 + 6 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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