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Simplifying 2x + -1(x + 8) = 11x + -7(2x + -8) + 100 Reorder the terms: 2x + -1(8 + x) = 11x + -7(2x + -8) + 100 2x + (8 * -1 + x * -1) = 11x + -7(2x + -8) + 100 2x + (-8 + -1x) = 11x + -7(2x + -8) + 100 Reorder the terms: -8 + 2x + -1x = 11x + -7(2x + -8) + 100 Combine like terms: 2x + -1x = 1x -8 + 1x = 11x + -7(2x + -8) + 100 Reorder the terms: -8 + 1x = 11x + -7(-8 + 2x) + 100 -8 + 1x = 11x + (-8 * -7 + 2x * -7) + 100 -8 + 1x = 11x + (56 + -14x) + 100 Reorder the terms: -8 + 1x = 56 + 100 + 11x + -14x Combine like terms: 56 + 100 = 156 -8 + 1x = 156 + 11x + -14x Combine like terms: 11x + -14x = -3x -8 + 1x = 156 + -3x Solving -8 + 1x = 156 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 1x + 3x = 156 + -3x + 3x Combine like terms: 1x + 3x = 4x -8 + 4x = 156 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 4x = 156 + 0 -8 + 4x = 156 Add '8' to each side of the equation. -8 + 8 + 4x = 156 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 156 + 8 4x = 156 + 8 Combine like terms: 156 + 8 = 164 4x = 164 Divide each side by '4'. x = 41 Simplifying x = 41
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