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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 = 2x -16 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 2x = -2 + 0 -16 + 2x = -2 Add '16' to each side of the equation. -16 + 16 + 2x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -2 + 16 2x = -2 + 16 Combine like terms: -2 + 16 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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