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Simplifying (4x + -6) + -1(5x + -4) = -1(-4 + x) + -4x + 6 Reorder the terms: (-6 + 4x) + -1(5x + -4) = -1(-4 + x) + -4x + 6 Remove parenthesis around (-6 + 4x) -6 + 4x + -1(5x + -4) = -1(-4 + x) + -4x + 6 Reorder the terms: -6 + 4x + -1(-4 + 5x) = -1(-4 + x) + -4x + 6 -6 + 4x + (-4 * -1 + 5x * -1) = -1(-4 + x) + -4x + 6 -6 + 4x + (4 + -5x) = -1(-4 + x) + -4x + 6 Reorder the terms: -6 + 4 + 4x + -5x = -1(-4 + x) + -4x + 6 Combine like terms: -6 + 4 = -2 -2 + 4x + -5x = -1(-4 + x) + -4x + 6 Combine like terms: 4x + -5x = -1x -2 + -1x = -1(-4 + x) + -4x + 6 -2 + -1x = (-4 * -1 + x * -1) + -4x + 6 -2 + -1x = (4 + -1x) + -4x + 6 Reorder the terms: -2 + -1x = 4 + 6 + -1x + -4x Combine like terms: 4 + 6 = 10 -2 + -1x = 10 + -1x + -4x Combine like terms: -1x + -4x = -5x -2 + -1x = 10 + -5x Solving -2 + -1x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + -1x + 5x = 10 + -5x + 5x Combine like terms: -1x + 5x = 4x -2 + 4x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 4x = 10 + 0 -2 + 4x = 10 Add '2' to each side of the equation. -2 + 2 + 4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 10 + 2 4x = 10 + 2 Combine like terms: 10 + 2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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