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Simplifying (5x + -8) + -1(6x + -4) = -1(-4 + x) + -4x + 8 Reorder the terms: (-8 + 5x) + -1(6x + -4) = -1(-4 + x) + -4x + 8 Remove parenthesis around (-8 + 5x) -8 + 5x + -1(6x + -4) = -1(-4 + x) + -4x + 8 Reorder the terms: -8 + 5x + -1(-4 + 6x) = -1(-4 + x) + -4x + 8 -8 + 5x + (-4 * -1 + 6x * -1) = -1(-4 + x) + -4x + 8 -8 + 5x + (4 + -6x) = -1(-4 + x) + -4x + 8 Reorder the terms: -8 + 4 + 5x + -6x = -1(-4 + x) + -4x + 8 Combine like terms: -8 + 4 = -4 -4 + 5x + -6x = -1(-4 + x) + -4x + 8 Combine like terms: 5x + -6x = -1x -4 + -1x = -1(-4 + x) + -4x + 8 -4 + -1x = (-4 * -1 + x * -1) + -4x + 8 -4 + -1x = (4 + -1x) + -4x + 8 Reorder the terms: -4 + -1x = 4 + 8 + -1x + -4x Combine like terms: 4 + 8 = 12 -4 + -1x = 12 + -1x + -4x Combine like terms: -1x + -4x = -5x -4 + -1x = 12 + -5x Solving -4 + -1x = 12 + -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. -4 + -1x + 5x = 12 + -5x + 5x Combine like terms: -1x + 5x = 4x -4 + 4x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 4x = 12 + 0 -4 + 4x = 12 Add '4' to each side of the equation. -4 + 4 + 4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 12 + 4 4x = 12 + 4 Combine like terms: 12 + 4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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