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Simplifying 6x + 10.5 = 4x + -9.5 Reorder the terms: 10.5 + 6x = 4x + -9.5 Reorder the terms: 10.5 + 6x = -9.5 + 4x Solving 10.5 + 6x = -9.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10.5 + 6x + -4x = -9.5 + 4x + -4x Combine like terms: 6x + -4x = 2x 10.5 + 2x = -9.5 + 4x + -4x Combine like terms: 4x + -4x = 0 10.5 + 2x = -9.5 + 0 10.5 + 2x = -9.5 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 2x = -9.5 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 2x = -9.5 + -10.5 2x = -9.5 + -10.5 Combine like terms: -9.5 + -10.5 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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