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Simplifying -7.5x + 1.8 = -10.2 + -1.5x Reorder the terms: 1.8 + -7.5x = -10.2 + -1.5x Solving 1.8 + -7.5x = -10.2 + -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. 1.8 + -7.5x + 1.5x = -10.2 + -1.5x + 1.5x Combine like terms: -7.5x + 1.5x = -6x 1.8 + -6x = -10.2 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 1.8 + -6x = -10.2 + 0.0 1.8 + -6x = -10.2 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -6x = -10.2 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -6x = -10.2 + -1.8 -6x = -10.2 + -1.8 Combine like terms: -10.2 + -1.8 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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