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