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Simplifying -4(x + 4) = 2(x + 100) Reorder the terms: -4(4 + x) = 2(x + 100) (4 * -4 + x * -4) = 2(x + 100) (-16 + -4x) = 2(x + 100) Reorder the terms: -16 + -4x = 2(100 + x) -16 + -4x = (100 * 2 + x * 2) -16 + -4x = (200 + 2x) Solving -16 + -4x = 200 + 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 = 200 + 2x + -2x Combine like terms: -4x + -2x = -6x -16 + -6x = 200 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -6x = 200 + 0 -16 + -6x = 200 Add '16' to each side of the equation. -16 + 16 + -6x = 200 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 200 + 16 -6x = 200 + 16 Combine like terms: 200 + 16 = 216 -6x = 216 Divide each side by '-6'. x = -36 Simplifying x = -36
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