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Simplifying 2[3x + -1(4x + -6)] + -5x = -3 Reorder the terms: 2[3x + -1(-6 + 4x)] + -5x = -3 2[3x + (-6 * -1 + 4x * -1)] + -5x = -3 2[3x + (6 + -4x)] + -5x = -3 Reorder the terms: 2[6 + 3x + -4x] + -5x = -3 Combine like terms: 3x + -4x = -1x 2[6 + -1x] + -5x = -3 [6 * 2 + -1x * 2] + -5x = -3 [12 + -2x] + -5x = -3 Combine like terms: -2x + -5x = -7x 12 + -7x = -3 Solving 12 + -7x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -3 + -12 -7x = -3 + -12 Combine like terms: -3 + -12 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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