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Simplifying -7(x + 3) + 3x + 6 = 5x + 9 Reorder the terms: -7(3 + x) + 3x + 6 = 5x + 9 (3 * -7 + x * -7) + 3x + 6 = 5x + 9 (-21 + -7x) + 3x + 6 = 5x + 9 Reorder the terms: -21 + 6 + -7x + 3x = 5x + 9 Combine like terms: -21 + 6 = -15 -15 + -7x + 3x = 5x + 9 Combine like terms: -7x + 3x = -4x -15 + -4x = 5x + 9 Reorder the terms: -15 + -4x = 9 + 5x Solving -15 + -4x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + -4x + -5x = 9 + 5x + -5x Combine like terms: -4x + -5x = -9x -15 + -9x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -9x = 9 + 0 -15 + -9x = 9 Add '15' to each side of the equation. -15 + 15 + -9x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 9 + 15 -9x = 9 + 15 Combine like terms: 9 + 15 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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