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Simplifying 1.5(-2x + -4) = (3.5 + 4x) * 2 + -2 Reorder the terms: 1.5(-4 + -2x) = (3.5 + 4x) * 2 + -2 (-4 * 1.5 + -2x * 1.5) = (3.5 + 4x) * 2 + -2 (-6 + -3x) = (3.5 + 4x) * 2 + -2 Reorder the terms for easier multiplication: -6 + -3x = 2(3.5 + 4x) + -2 -6 + -3x = (3.5 * 2 + 4x * 2) + -2 -6 + -3x = (7 + 8x) + -2 Reorder the terms: -6 + -3x = 7 + -2 + 8x Combine like terms: 7 + -2 = 5 -6 + -3x = 5 + 8x Solving -6 + -3x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + -3x + -8x = 5 + 8x + -8x Combine like terms: -3x + -8x = -11x -6 + -11x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -11x = 5 + 0 -6 + -11x = 5 Add '6' to each side of the equation. -6 + 6 + -11x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = 5 + 6 -11x = 5 + 6 Combine like terms: 5 + 6 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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