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Simplifying -4(x + 4) = 2(x + 1) Reorder the terms: -4(4 + x) = 2(x + 1) (4 * -4 + x * -4) = 2(x + 1) (-16 + -4x) = 2(x + 1) Reorder the terms: -16 + -4x = 2(1 + x) -16 + -4x = (1 * 2 + x * 2) -16 + -4x = (2 + 2x) Solving -16 + -4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + -4x + -2x = 2 + 2x + -2x Combine like terms: -4x + -2x = -6x -16 + -6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -6x = 2 + 0 -16 + -6x = 2 Add '16' to each side of the equation. -16 + 16 + -6x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 2 + 16 -6x = 2 + 16 Combine like terms: 2 + 16 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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