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Simplifying 0.25(x + -7) = 1 + 3x Reorder the terms: 0.25(-7 + x) = 1 + 3x (-7 * 0.25 + x * 0.25) = 1 + 3x (-1.75 + 0.25x) = 1 + 3x Solving -1.75 + 0.25x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.75 + 0.25x + -3x = 1 + 3x + -3x Combine like terms: 0.25x + -3x = -2.75x -1.75 + -2.75x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.75 + -2.75x = 1 + 0 -1.75 + -2.75x = 1 Add '1.75' to each side of the equation. -1.75 + 1.75 + -2.75x = 1 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + -2.75x = 1 + 1.75 -2.75x = 1 + 1.75 Combine like terms: 1 + 1.75 = 2.75 -2.75x = 2.75 Divide each side by '-2.75'. x = -1 Simplifying x = -1
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