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Simplifying -9(x + 2) + 3x + 6 = 7x + 10 Reorder the terms: -9(2 + x) + 3x + 6 = 7x + 10 (2 * -9 + x * -9) + 3x + 6 = 7x + 10 (-18 + -9x) + 3x + 6 = 7x + 10 Reorder the terms: -18 + 6 + -9x + 3x = 7x + 10 Combine like terms: -18 + 6 = -12 -12 + -9x + 3x = 7x + 10 Combine like terms: -9x + 3x = -6x -12 + -6x = 7x + 10 Reorder the terms: -12 + -6x = 10 + 7x Solving -12 + -6x = 10 + 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. -12 + -6x + -7x = 10 + 7x + -7x Combine like terms: -6x + -7x = -13x -12 + -13x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -13x = 10 + 0 -12 + -13x = 10 Add '12' to each side of the equation. -12 + 12 + -13x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -13x = 10 + 12 -13x = 10 + 12 Combine like terms: 10 + 12 = 22 -13x = 22 Divide each side by '-13'. x = -1.692307692 Simplifying x = -1.692307692
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