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Simplifying 0.5x + 10.6 = x + -4.95 Reorder the terms: 10.6 + 0.5x = x + -4.95 Reorder the terms: 10.6 + 0.5x = -4.95 + x Solving 10.6 + 0.5x = -4.95 + x 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. 10.6 + 0.5x + -1x = -4.95 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 10.6 + -0.5x = -4.95 + x + -1x Combine like terms: x + -1x = 0 10.6 + -0.5x = -4.95 + 0 10.6 + -0.5x = -4.95 Add '-10.6' to each side of the equation. 10.6 + -10.6 + -0.5x = -4.95 + -10.6 Combine like terms: 10.6 + -10.6 = 0.0 0.0 + -0.5x = -4.95 + -10.6 -0.5x = -4.95 + -10.6 Combine like terms: -4.95 + -10.6 = -15.55 -0.5x = -15.55 Divide each side by '-0.5'. x = 31.1 Simplifying x = 31.1
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