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Simplifying 0.6x + 6.3 = 1.5x Reorder the terms: 6.3 + 0.6x = 1.5x Solving 6.3 + 0.6x = 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 6.3 + 0.6x + -1.5x = 1.5x + -1.5x Combine like terms: 0.6x + -1.5x = -0.9x 6.3 + -0.9x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 6.3 + -0.9x = 0.0 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -0.9x = 0.0 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -0.9x = 0.0 + -6.3 -0.9x = 0.0 + -6.3 Combine like terms: 0.0 + -6.3 = -6.3 -0.9x = -6.3 Divide each side by '-0.9'. x = 7 Simplifying x = 7
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