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Simplifying -1(x + 11) = 4(1 + -4x) Reorder the terms: -1(11 + x) = 4(1 + -4x) (11 * -1 + x * -1) = 4(1 + -4x) (-11 + -1x) = 4(1 + -4x) -11 + -1x = (1 * 4 + -4x * 4) -11 + -1x = (4 + -16x) Solving -11 + -1x = 4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -11 + -1x + 16x = 4 + -16x + 16x Combine like terms: -1x + 16x = 15x -11 + 15x = 4 + -16x + 16x Combine like terms: -16x + 16x = 0 -11 + 15x = 4 + 0 -11 + 15x = 4 Add '11' to each side of the equation. -11 + 11 + 15x = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 15x = 4 + 11 15x = 4 + 11 Combine like terms: 4 + 11 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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