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Simplifying 0.25(x + 3) = 4(x + 3) Reorder the terms: 0.25(3 + x) = 4(x + 3) (3 * 0.25 + x * 0.25) = 4(x + 3) (0.75 + 0.25x) = 4(x + 3) Reorder the terms: 0.75 + 0.25x = 4(3 + x) 0.75 + 0.25x = (3 * 4 + x * 4) 0.75 + 0.25x = (12 + 4x) Solving 0.75 + 0.25x = 12 + 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. 0.75 + 0.25x + -4x = 12 + 4x + -4x Combine like terms: 0.25x + -4x = -3.75x 0.75 + -3.75x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 0.75 + -3.75x = 12 + 0 0.75 + -3.75x = 12 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -3.75x = 12 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -3.75x = 12 + -0.75 -3.75x = 12 + -0.75 Combine like terms: 12 + -0.75 = 11.25 -3.75x = 11.25 Divide each side by '-3.75'. x = -3 Simplifying x = -3
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