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Simplifying -4(x + 4) = -1(x + 6) + 5 Reorder the terms: -4(4 + x) = -1(x + 6) + 5 (4 * -4 + x * -4) = -1(x + 6) + 5 (-16 + -4x) = -1(x + 6) + 5 Reorder the terms: -16 + -4x = -1(6 + x) + 5 -16 + -4x = (6 * -1 + x * -1) + 5 -16 + -4x = (-6 + -1x) + 5 Reorder the terms: -16 + -4x = -6 + 5 + -1x Combine like terms: -6 + 5 = -1 -16 + -4x = -1 + -1x Solving -16 + -4x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -16 + -4x + x = -1 + -1x + x Combine like terms: -4x + x = -3x -16 + -3x = -1 + -1x + x Combine like terms: -1x + x = 0 -16 + -3x = -1 + 0 -16 + -3x = -1 Add '16' to each side of the equation. -16 + 16 + -3x = -1 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = -1 + 16 -3x = -1 + 16 Combine like terms: -1 + 16 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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