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Simplifying 6(1 + -1x) + -4(2 + x) + 3(3 + -1x) = 12 (1 * 6 + -1x * 6) + -4(2 + x) + 3(3 + -1x) = 12 (6 + -6x) + -4(2 + x) + 3(3 + -1x) = 12 6 + -6x + (2 * -4 + x * -4) + 3(3 + -1x) = 12 6 + -6x + (-8 + -4x) + 3(3 + -1x) = 12 6 + -6x + -8 + -4x + (3 * 3 + -1x * 3) = 12 6 + -6x + -8 + -4x + (9 + -3x) = 12 Reorder the terms: 6 + -8 + 9 + -6x + -4x + -3x = 12 Combine like terms: 6 + -8 = -2 -2 + 9 + -6x + -4x + -3x = 12 Combine like terms: -2 + 9 = 7 7 + -6x + -4x + -3x = 12 Combine like terms: -6x + -4x = -10x 7 + -10x + -3x = 12 Combine like terms: -10x + -3x = -13x 7 + -13x = 12 Solving 7 + -13x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -13x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = 12 + -7 -13x = 12 + -7 Combine like terms: 12 + -7 = 5 -13x = 5 Divide each side by '-13'. x = -0.3846153846 Simplifying x = -0.3846153846
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