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Simplifying -2(4x + -3) + -1.5x = -3x + 1 Reorder the terms: -2(-3 + 4x) + -1.5x = -3x + 1 (-3 * -2 + 4x * -2) + -1.5x = -3x + 1 (6 + -8x) + -1.5x = -3x + 1 Combine like terms: -8x + -1.5x = -9.5x 6 + -9.5x = -3x + 1 Reorder the terms: 6 + -9.5x = 1 + -3x Solving 6 + -9.5x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -9.5x + 3x = 1 + -3x + 3x Combine like terms: -9.5x + 3x = -6.5x 6 + -6.5x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -6.5x = 1 + 0 6 + -6.5x = 1 Add '-6' to each side of the equation. 6 + -6 + -6.5x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -6.5x = 1 + -6 -6.5x = 1 + -6 Combine like terms: 1 + -6 = -5 -6.5x = -5 Divide each side by '-6.5'. x = 0.7692307692 Simplifying x = 0.7692307692
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