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Simplifying 0.25(x + 2) = 2x + -10(2 + -1x) + -3 Reorder the terms: 0.25(2 + x) = 2x + -10(2 + -1x) + -3 (2 * 0.25 + x * 0.25) = 2x + -10(2 + -1x) + -3 (0.5 + 0.25x) = 2x + -10(2 + -1x) + -3 0.5 + 0.25x = 2x + (2 * -10 + -1x * -10) + -3 0.5 + 0.25x = 2x + (-20 + 10x) + -3 Reorder the terms: 0.5 + 0.25x = -20 + -3 + 2x + 10x Combine like terms: -20 + -3 = -23 0.5 + 0.25x = -23 + 2x + 10x Combine like terms: 2x + 10x = 12x 0.5 + 0.25x = -23 + 12x Solving 0.5 + 0.25x = -23 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 0.5 + 0.25x + -12x = -23 + 12x + -12x Combine like terms: 0.25x + -12x = -11.75x 0.5 + -11.75x = -23 + 12x + -12x Combine like terms: 12x + -12x = 0 0.5 + -11.75x = -23 + 0 0.5 + -11.75x = -23 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -11.75x = -23 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -11.75x = -23 + -0.5 -11.75x = -23 + -0.5 Combine like terms: -23 + -0.5 = -23.5 -11.75x = -23.5 Divide each side by '-11.75'. x = 2 Simplifying x = 2
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