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Simplifying -10(2x + 4) = -1(-8 + -9x) + 3x Reorder the terms: -10(4 + 2x) = -1(-8 + -9x) + 3x (4 * -10 + 2x * -10) = -1(-8 + -9x) + 3x (-40 + -20x) = -1(-8 + -9x) + 3x -40 + -20x = (-8 * -1 + -9x * -1) + 3x -40 + -20x = (8 + 9x) + 3x Combine like terms: 9x + 3x = 12x -40 + -20x = 8 + 12x Solving -40 + -20x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -40 + -20x + -12x = 8 + 12x + -12x Combine like terms: -20x + -12x = -32x -40 + -32x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -40 + -32x = 8 + 0 -40 + -32x = 8 Add '40' to each side of the equation. -40 + 40 + -32x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -32x = 8 + 40 -32x = 8 + 40 Combine like terms: 8 + 40 = 48 -32x = 48 Divide each side by '-32'. x = -1.5 Simplifying x = -1.5
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