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Simplifying 0.25(12x + 1) = x + -7 + 3x Reorder the terms: 0.25(1 + 12x) = x + -7 + 3x (1 * 0.25 + 12x * 0.25) = x + -7 + 3x (0.25 + 3x) = x + -7 + 3x Reorder the terms: 0.25 + 3x = -7 + x + 3x Combine like terms: x + 3x = 4x 0.25 + 3x = -7 + 4x Solving 0.25 + 3x = -7 + 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. 0.25 + 3x + -4x = -7 + 4x + -4x Combine like terms: 3x + -4x = -1x 0.25 + -1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 0.25 + -1x = -7 + 0 0.25 + -1x = -7 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -1x = -7 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -1x = -7 + -0.25 -1x = -7 + -0.25 Combine like terms: -7 + -0.25 = -7.25 -1x = -7.25 Divide each side by '-1'. x = 7.25 Simplifying x = 7.25
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