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Simplifying 2[6x + -7(x + -1)] = 5x + -21 Reorder the terms: 2[6x + -7(-1 + x)] = 5x + -21 2[6x + (-1 * -7 + x * -7)] = 5x + -21 2[6x + (7 + -7x)] = 5x + -21 Reorder the terms: 2[7 + 6x + -7x] = 5x + -21 Combine like terms: 6x + -7x = -1x 2[7 + -1x] = 5x + -21 [7 * 2 + -1x * 2] = 5x + -21 [14 + -2x] = 5x + -21 Reorder the terms: 14 + -2x = -21 + 5x Solving 14 + -2x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -2x + -5x = -21 + 5x + -5x Combine like terms: -2x + -5x = -7x 14 + -7x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -7x = -21 + 0 14 + -7x = -21 Add '-14' to each side of the equation. 14 + -14 + -7x = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -21 + -14 -7x = -21 + -14 Combine like terms: -21 + -14 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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