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Simplifying 0.25x + -3 = 7(x + -3) + -0.5x Reorder the terms: -3 + 0.25x = 7(x + -3) + -0.5x Reorder the terms: -3 + 0.25x = 7(-3 + x) + -0.5x -3 + 0.25x = (-3 * 7 + x * 7) + -0.5x -3 + 0.25x = (-21 + 7x) + -0.5x Combine like terms: 7x + -0.5x = 6.5x -3 + 0.25x = -21 + 6.5x Solving -3 + 0.25x = -21 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. -3 + 0.25x + -6.5x = -21 + 6.5x + -6.5x Combine like terms: 0.25x + -6.5x = -6.25x -3 + -6.25x = -21 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 -3 + -6.25x = -21 + 0.0 -3 + -6.25x = -21 Add '3' to each side of the equation. -3 + 3 + -6.25x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -6.25x = -21 + 3 -6.25x = -21 + 3 Combine like terms: -21 + 3 = -18 -6.25x = -18 Divide each side by '-6.25'. x = 2.88 Simplifying x = 2.88
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