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Simplifying 3x + -3(2 + -2x) + 12 = 2x + -2(3x + -1) + 10 3x + (2 * -3 + -2x * -3) + 12 = 2x + -2(3x + -1) + 10 3x + (-6 + 6x) + 12 = 2x + -2(3x + -1) + 10 Reorder the terms: -6 + 12 + 3x + 6x = 2x + -2(3x + -1) + 10 Combine like terms: -6 + 12 = 6 6 + 3x + 6x = 2x + -2(3x + -1) + 10 Combine like terms: 3x + 6x = 9x 6 + 9x = 2x + -2(3x + -1) + 10 Reorder the terms: 6 + 9x = 2x + -2(-1 + 3x) + 10 6 + 9x = 2x + (-1 * -2 + 3x * -2) + 10 6 + 9x = 2x + (2 + -6x) + 10 Reorder the terms: 6 + 9x = 2 + 10 + 2x + -6x Combine like terms: 2 + 10 = 12 6 + 9x = 12 + 2x + -6x Combine like terms: 2x + -6x = -4x 6 + 9x = 12 + -4x Solving 6 + 9x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 9x + 4x = 12 + -4x + 4x Combine like terms: 9x + 4x = 13x 6 + 13x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 13x = 12 + 0 6 + 13x = 12 Add '-6' to each side of the equation. 6 + -6 + 13x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 12 + -6 13x = 12 + -6 Combine like terms: 12 + -6 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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