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Simplifying 0.25(x + 2) = 2x + -4(2 + -1x) + -3 Reorder the terms: 0.25(2 + x) = 2x + -4(2 + -1x) + -3 (2 * 0.25 + x * 0.25) = 2x + -4(2 + -1x) + -3 (0.5 + 0.25x) = 2x + -4(2 + -1x) + -3 0.5 + 0.25x = 2x + (2 * -4 + -1x * -4) + -3 0.5 + 0.25x = 2x + (-8 + 4x) + -3 Reorder the terms: 0.5 + 0.25x = -8 + -3 + 2x + 4x Combine like terms: -8 + -3 = -11 0.5 + 0.25x = -11 + 2x + 4x Combine like terms: 2x + 4x = 6x 0.5 + 0.25x = -11 + 6x Solving 0.5 + 0.25x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.5 + 0.25x + -6x = -11 + 6x + -6x Combine like terms: 0.25x + -6x = -5.75x 0.5 + -5.75x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 0.5 + -5.75x = -11 + 0 0.5 + -5.75x = -11 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -5.75x = -11 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -5.75x = -11 + -0.5 -5.75x = -11 + -0.5 Combine like terms: -11 + -0.5 = -11.5 -5.75x = -11.5 Divide each side by '-5.75'. x = 2 Simplifying x = 2
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