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Simplifying 3x + -2(x + -6) + 9 = 3(3 + -2x) + 4x Reorder the terms: 3x + -2(-6 + x) + 9 = 3(3 + -2x) + 4x 3x + (-6 * -2 + x * -2) + 9 = 3(3 + -2x) + 4x 3x + (12 + -2x) + 9 = 3(3 + -2x) + 4x Reorder the terms: 12 + 9 + 3x + -2x = 3(3 + -2x) + 4x Combine like terms: 12 + 9 = 21 21 + 3x + -2x = 3(3 + -2x) + 4x Combine like terms: 3x + -2x = 1x 21 + 1x = 3(3 + -2x) + 4x 21 + 1x = (3 * 3 + -2x * 3) + 4x 21 + 1x = (9 + -6x) + 4x Combine like terms: -6x + 4x = -2x 21 + 1x = 9 + -2x Solving 21 + 1x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + 1x + 2x = 9 + -2x + 2x Combine like terms: 1x + 2x = 3x 21 + 3x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + 3x = 9 + 0 21 + 3x = 9 Add '-21' to each side of the equation. 21 + -21 + 3x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 9 + -21 3x = 9 + -21 Combine like terms: 9 + -21 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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