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Simplifying 10.5 = -4x + 0.6 + 5x + 0.2 Reorder the terms: 10.5 = 0.6 + 0.2 + -4x + 5x Combine like terms: 0.6 + 0.2 = 0.8 10.5 = 0.8 + -4x + 5x Combine like terms: -4x + 5x = 1x 10.5 = 0.8 + 1x Solving 10.5 = 0.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10.5 + -1x = 0.8 + 1x + -1x Combine like terms: 1x + -1x = 0 10.5 + -1x = 0.8 + 0 10.5 + -1x = 0.8 Add '-10.5' to each side of the equation. 10.5 + -10.5 + -1x = 0.8 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -1x = 0.8 + -10.5 -1x = 0.8 + -10.5 Combine like terms: 0.8 + -10.5 = -9.7 -1x = -9.7 Divide each side by '-1'. x = 9.7 Simplifying x = 9.7
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