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Simplifying 6[3x + -2(x + -1)] + -2 = -7x Reorder the terms: 6[3x + -2(-1 + x)] + -2 = -7x 6[3x + (-1 * -2 + x * -2)] + -2 = -7x 6[3x + (2 + -2x)] + -2 = -7x Reorder the terms: 6[2 + 3x + -2x] + -2 = -7x Combine like terms: 3x + -2x = 1x 6[2 + 1x] + -2 = -7x [2 * 6 + 1x * 6] + -2 = -7x [12 + 6x] + -2 = -7x Reorder the terms: 12 + -2 + 6x = -7x Combine like terms: 12 + -2 = 10 10 + 6x = -7x Solving 10 + 6x = -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. 10 + 6x + 7x = -7x + 7x Combine like terms: 6x + 7x = 13x 10 + 13x = -7x + 7x Combine like terms: -7x + 7x = 0 10 + 13x = 0 Add '-10' to each side of the equation. 10 + -10 + 13x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 0 + -10 13x = 0 + -10 Combine like terms: 0 + -10 = -10 13x = -10 Divide each side by '13'. x = -0.7692307692 Simplifying x = -0.7692307692
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