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Simplifying 4(2x + -1) + -3(5 + -1x) = 12 + -5x Reorder the terms: 4(-1 + 2x) + -3(5 + -1x) = 12 + -5x (-1 * 4 + 2x * 4) + -3(5 + -1x) = 12 + -5x (-4 + 8x) + -3(5 + -1x) = 12 + -5x -4 + 8x + (5 * -3 + -1x * -3) = 12 + -5x -4 + 8x + (-15 + 3x) = 12 + -5x Reorder the terms: -4 + -15 + 8x + 3x = 12 + -5x Combine like terms: -4 + -15 = -19 -19 + 8x + 3x = 12 + -5x Combine like terms: 8x + 3x = 11x -19 + 11x = 12 + -5x Solving -19 + 11x = 12 + -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. -19 + 11x + 5x = 12 + -5x + 5x Combine like terms: 11x + 5x = 16x -19 + 16x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -19 + 16x = 12 + 0 -19 + 16x = 12 Add '19' to each side of the equation. -19 + 19 + 16x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + 16x = 12 + 19 16x = 12 + 19 Combine like terms: 12 + 19 = 31 16x = 31 Divide each side by '16'. x = 1.9375 Simplifying x = 1.9375
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