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Simplifying 5x + -1(4x + 4) = 8x + -11 Reorder the terms: 5x + -1(4 + 4x) = 8x + -11 5x + (4 * -1 + 4x * -1) = 8x + -11 5x + (-4 + -4x) = 8x + -11 Reorder the terms: -4 + 5x + -4x = 8x + -11 Combine like terms: 5x + -4x = 1x -4 + 1x = 8x + -11 Reorder the terms: -4 + 1x = -11 + 8x Solving -4 + 1x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 1x + -8x = -11 + 8x + -8x Combine like terms: 1x + -8x = -7x -4 + -7x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -7x = -11 + 0 -4 + -7x = -11 Add '4' to each side of the equation. -4 + 4 + -7x = -11 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = -11 + 4 -7x = -11 + 4 Combine like terms: -11 + 4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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