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Simplifying 0.25(8x + -4) = 0.50(6x + 18) Reorder the terms: 0.25(-4 + 8x) = 0.50(6x + 18) (-4 * 0.25 + 8x * 0.25) = 0.50(6x + 18) (-1 + 2x) = 0.50(6x + 18) Reorder the terms: -1 + 2x = 0.50(18 + 6x) -1 + 2x = (18 * 0.50 + 6x * 0.50) -1 + 2x = (9 + 3x) Solving -1 + 2x = 9 + 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 + 2x + -3x = 9 + 3x + -3x Combine like terms: 2x + -3x = -1x -1 + -1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -1x = 9 + 0 -1 + -1x = 9 Add '1' to each side of the equation. -1 + 1 + -1x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 9 + 1 -1x = 9 + 1 Combine like terms: 9 + 1 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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