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Simplifying 0.5(x + 1) + 0.25 = 0.6x + -0.16 + 0.75 Reorder the terms: 0.5(1 + x) + 0.25 = 0.6x + -0.16 + 0.75 (1 * 0.5 + x * 0.5) + 0.25 = 0.6x + -0.16 + 0.75 (0.5 + 0.5x) + 0.25 = 0.6x + -0.16 + 0.75 Reorder the terms: 0.5 + 0.25 + 0.5x = 0.6x + -0.16 + 0.75 Combine like terms: 0.5 + 0.25 = 0.75 0.75 + 0.5x = 0.6x + -0.16 + 0.75 Reorder the terms: 0.75 + 0.5x = -0.16 + 0.75 + 0.6x Combine like terms: -0.16 + 0.75 = 0.59 0.75 + 0.5x = 0.59 + 0.6x Solving 0.75 + 0.5x = 0.59 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 0.75 + 0.5x + -0.6x = 0.59 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 0.75 + -0.1x = 0.59 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.75 + -0.1x = 0.59 + 0.0 0.75 + -0.1x = 0.59 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.1x = 0.59 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.1x = 0.59 + -0.75 -0.1x = 0.59 + -0.75 Combine like terms: 0.59 + -0.75 = -0.16 -0.1x = -0.16 Divide each side by '-0.1'. x = 1.6 Simplifying x = 1.6
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