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Simplifying -4x + -6 + 5(x + 1) = -1(-4x + -4) Reorder the terms: -4x + -6 + 5(1 + x) = -1(-4x + -4) -4x + -6 + (1 * 5 + x * 5) = -1(-4x + -4) -4x + -6 + (5 + 5x) = -1(-4x + -4) Reorder the terms: -6 + 5 + -4x + 5x = -1(-4x + -4) Combine like terms: -6 + 5 = -1 -1 + -4x + 5x = -1(-4x + -4) Combine like terms: -4x + 5x = 1x -1 + 1x = -1(-4x + -4) Reorder the terms: -1 + 1x = -1(-4 + -4x) -1 + 1x = (-4 * -1 + -4x * -1) -1 + 1x = (4 + 4x) Solving -1 + 1x = 4 + 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 + 1x + -4x = 4 + 4x + -4x Combine like terms: 1x + -4x = -3x -1 + -3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -3x = 4 + 0 -1 + -3x = 4 Add '1' to each side of the equation. -1 + 1 + -3x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 4 + 1 -3x = 4 + 1 Combine like terms: 4 + 1 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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