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Simplifying 0.25(12x + -8) = 5x + -1(13 + 3) Reorder the terms: 0.25(-8 + 12x) = 5x + -1(13 + 3) (-8 * 0.25 + 12x * 0.25) = 5x + -1(13 + 3) (-2 + 3x) = 5x + -1(13 + 3) Combine like terms: 13 + 3 = 16 -2 + 3x = 5x + -1(16) Multiply -1 * 16 -2 + 3x = 5x + -16 Reorder the terms: -2 + 3x = -16 + 5x Solving -2 + 3x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 3x + -5x = -16 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = -16 + 0 -2 + -2x = -16 Add '2' to each side of the equation. -2 + 2 + -2x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -16 + 2 -2x = -16 + 2 Combine like terms: -16 + 2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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