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Simplifying x + 9 + 1 + 2x = 7(x + -2) + -6(x + -3) Reorder the terms: 9 + 1 + x + 2x = 7(x + -2) + -6(x + -3) Combine like terms: 9 + 1 = 10 10 + x + 2x = 7(x + -2) + -6(x + -3) Combine like terms: x + 2x = 3x 10 + 3x = 7(x + -2) + -6(x + -3) Reorder the terms: 10 + 3x = 7(-2 + x) + -6(x + -3) 10 + 3x = (-2 * 7 + x * 7) + -6(x + -3) 10 + 3x = (-14 + 7x) + -6(x + -3) Reorder the terms: 10 + 3x = -14 + 7x + -6(-3 + x) 10 + 3x = -14 + 7x + (-3 * -6 + x * -6) 10 + 3x = -14 + 7x + (18 + -6x) Reorder the terms: 10 + 3x = -14 + 18 + 7x + -6x Combine like terms: -14 + 18 = 4 10 + 3x = 4 + 7x + -6x Combine like terms: 7x + -6x = 1x 10 + 3x = 4 + 1x Solving 10 + 3x = 4 + 1x 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. 10 + 3x + -1x = 4 + 1x + -1x Combine like terms: 3x + -1x = 2x 10 + 2x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + 2x = 4 + 0 10 + 2x = 4 Add '-10' to each side of the equation. 10 + -10 + 2x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 4 + -10 2x = 4 + -10 Combine like terms: 4 + -10 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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