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Simplifying -9(x + 3) + 3x + 6 = 7x + 6 Reorder the terms: -9(3 + x) + 3x + 6 = 7x + 6 (3 * -9 + x * -9) + 3x + 6 = 7x + 6 (-27 + -9x) + 3x + 6 = 7x + 6 Reorder the terms: -27 + 6 + -9x + 3x = 7x + 6 Combine like terms: -27 + 6 = -21 -21 + -9x + 3x = 7x + 6 Combine like terms: -9x + 3x = -6x -21 + -6x = 7x + 6 Reorder the terms: -21 + -6x = 6 + 7x Solving -21 + -6x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -21 + -6x + -7x = 6 + 7x + -7x Combine like terms: -6x + -7x = -13x -21 + -13x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -13x = 6 + 0 -21 + -13x = 6 Add '21' to each side of the equation. -21 + 21 + -13x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -13x = 6 + 21 -13x = 6 + 21 Combine like terms: 6 + 21 = 27 -13x = 27 Divide each side by '-13'. x = -2.076923077 Simplifying x = -2.076923077
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