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Simplifying 1.5x + -6 = 6.3x + -0.5 Reorder the terms: -6 + 1.5x = 6.3x + -0.5 Reorder the terms: -6 + 1.5x = -0.5 + 6.3x Solving -6 + 1.5x = -0.5 + 6.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.3x' to each side of the equation. -6 + 1.5x + -6.3x = -0.5 + 6.3x + -6.3x Combine like terms: 1.5x + -6.3x = -4.8x -6 + -4.8x = -0.5 + 6.3x + -6.3x Combine like terms: 6.3x + -6.3x = 0.0 -6 + -4.8x = -0.5 + 0.0 -6 + -4.8x = -0.5 Add '6' to each side of the equation. -6 + 6 + -4.8x = -0.5 + 6 Combine like terms: -6 + 6 = 0 0 + -4.8x = -0.5 + 6 -4.8x = -0.5 + 6 Combine like terms: -0.5 + 6 = 5.5 -4.8x = 5.5 Divide each side by '-4.8'. x = -1.145833333 Simplifying x = -1.145833333
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