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Simplifying 8x + -4(x + -1) = -4 + 7x + 11 Reorder the terms: 8x + -4(-1 + x) = -4 + 7x + 11 8x + (-1 * -4 + x * -4) = -4 + 7x + 11 8x + (4 + -4x) = -4 + 7x + 11 Reorder the terms: 4 + 8x + -4x = -4 + 7x + 11 Combine like terms: 8x + -4x = 4x 4 + 4x = -4 + 7x + 11 Reorder the terms: 4 + 4x = -4 + 11 + 7x Combine like terms: -4 + 11 = 7 4 + 4x = 7 + 7x Solving 4 + 4x = 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. 4 + 4x + -7x = 7 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = 7 + 0 4 + -3x = 7 Add '-4' to each side of the equation. 4 + -4 + -3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 7 + -4 -3x = 7 + -4 Combine like terms: 7 + -4 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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