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Simplifying 2[6x + -7(x + -7)] = 5x + -21 Reorder the terms: 2[6x + -7(-7 + x)] = 5x + -21 2[6x + (-7 * -7 + x * -7)] = 5x + -21 2[6x + (49 + -7x)] = 5x + -21 Reorder the terms: 2[49 + 6x + -7x] = 5x + -21 Combine like terms: 6x + -7x = -1x 2[49 + -1x] = 5x + -21 [49 * 2 + -1x * 2] = 5x + -21 [98 + -2x] = 5x + -21 Reorder the terms: 98 + -2x = -21 + 5x Solving 98 + -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. 98 + -2x + -5x = -21 + 5x + -5x Combine like terms: -2x + -5x = -7x 98 + -7x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 98 + -7x = -21 + 0 98 + -7x = -21 Add '-98' to each side of the equation. 98 + -98 + -7x = -21 + -98 Combine like terms: 98 + -98 = 0 0 + -7x = -21 + -98 -7x = -21 + -98 Combine like terms: -21 + -98 = -119 -7x = -119 Divide each side by '-7'. x = 17 Simplifying x = 17
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