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Simplifying -2[7x + -7 + -6(x + 7)] = 2x + 5 Reorder the terms: -2[7x + -7 + -6(7 + x)] = 2x + 5 -2[7x + -7 + (7 * -6 + x * -6)] = 2x + 5 -2[7x + -7 + (-42 + -6x)] = 2x + 5 Reorder the terms: -2[-7 + -42 + 7x + -6x] = 2x + 5 Combine like terms: -7 + -42 = -49 -2[-49 + 7x + -6x] = 2x + 5 Combine like terms: 7x + -6x = 1x -2[-49 + 1x] = 2x + 5 [-49 * -2 + 1x * -2] = 2x + 5 [98 + -2x] = 2x + 5 Reorder the terms: 98 + -2x = 5 + 2x Solving 98 + -2x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 98 + -2x + -2x = 5 + 2x + -2x Combine like terms: -2x + -2x = -4x 98 + -4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 98 + -4x = 5 + 0 98 + -4x = 5 Add '-98' to each side of the equation. 98 + -98 + -4x = 5 + -98 Combine like terms: 98 + -98 = 0 0 + -4x = 5 + -98 -4x = 5 + -98 Combine like terms: 5 + -98 = -93 -4x = -93 Divide each side by '-4'. x = 23.25 Simplifying x = 23.25
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