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Simplifying 1.5x + 4x + 6 = 3x + -4 Reorder the terms: 6 + 1.5x + 4x = 3x + -4 Combine like terms: 1.5x + 4x = 5.5x 6 + 5.5x = 3x + -4 Reorder the terms: 6 + 5.5x = -4 + 3x Solving 6 + 5.5x = -4 + 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 + 5.5x + -3x = -4 + 3x + -3x Combine like terms: 5.5x + -3x = 2.5x 6 + 2.5x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2.5x = -4 + 0 6 + 2.5x = -4 Add '-6' to each side of the equation. 6 + -6 + 2.5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x = -4 + -6 2.5x = -4 + -6 Combine like terms: -4 + -6 = -10 2.5x = -10 Divide each side by '2.5'. x = -4 Simplifying x = -4
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