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Simplifying -6.5x + 1.5 = -31.4 + -1.8x Reorder the terms: 1.5 + -6.5x = -31.4 + -1.8x Solving 1.5 + -6.5x = -31.4 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. 1.5 + -6.5x + 1.8x = -31.4 + -1.8x + 1.8x Combine like terms: -6.5x + 1.8x = -4.7x 1.5 + -4.7x = -31.4 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 1.5 + -4.7x = -31.4 + 0.0 1.5 + -4.7x = -31.4 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -4.7x = -31.4 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -4.7x = -31.4 + -1.5 -4.7x = -31.4 + -1.5 Combine like terms: -31.4 + -1.5 = -32.9 -4.7x = -32.9 Divide each side by '-4.7'. x = 7 Simplifying x = 7
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