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Simplifying -2[5x + -2 + -2(x + 1)] = 7x + 7 Reorder the terms: -2[5x + -2 + -2(1 + x)] = 7x + 7 -2[5x + -2 + (1 * -2 + x * -2)] = 7x + 7 -2[5x + -2 + (-2 + -2x)] = 7x + 7 Reorder the terms: -2[-2 + -2 + 5x + -2x] = 7x + 7 Combine like terms: -2 + -2 = -4 -2[-4 + 5x + -2x] = 7x + 7 Combine like terms: 5x + -2x = 3x -2[-4 + 3x] = 7x + 7 [-4 * -2 + 3x * -2] = 7x + 7 [8 + -6x] = 7x + 7 Reorder the terms: 8 + -6x = 7 + 7x Solving 8 + -6x = 7 + 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. 8 + -6x + -7x = 7 + 7x + -7x Combine like terms: -6x + -7x = -13x 8 + -13x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -13x = 7 + 0 8 + -13x = 7 Add '-8' to each side of the equation. 8 + -8 + -13x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = 7 + -8 -13x = 7 + -8 Combine like terms: 7 + -8 = -1 -13x = -1 Divide each side by '-13'. x = 0.07692307692 Simplifying x = 0.07692307692
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