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Simplifying -6x + -1(1 + x) = -4(x + 5) + 4 -6x + (1 * -1 + x * -1) = -4(x + 5) + 4 -6x + (-1 + -1x) = -4(x + 5) + 4 Reorder the terms: -1 + -6x + -1x = -4(x + 5) + 4 Combine like terms: -6x + -1x = -7x -1 + -7x = -4(x + 5) + 4 Reorder the terms: -1 + -7x = -4(5 + x) + 4 -1 + -7x = (5 * -4 + x * -4) + 4 -1 + -7x = (-20 + -4x) + 4 Reorder the terms: -1 + -7x = -20 + 4 + -4x Combine like terms: -20 + 4 = -16 -1 + -7x = -16 + -4x Solving -1 + -7x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + -7x + 4x = -16 + -4x + 4x Combine like terms: -7x + 4x = -3x -1 + -3x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + -3x = -16 + 0 -1 + -3x = -16 Add '1' to each side of the equation. -1 + 1 + -3x = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -16 + 1 -3x = -16 + 1 Combine like terms: -16 + 1 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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