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Simplifying 2(4x + -1) + -1(5x + 1) = 4(x + 4) + -15 Reorder the terms: 2(-1 + 4x) + -1(5x + 1) = 4(x + 4) + -15 (-1 * 2 + 4x * 2) + -1(5x + 1) = 4(x + 4) + -15 (-2 + 8x) + -1(5x + 1) = 4(x + 4) + -15 Reorder the terms: -2 + 8x + -1(1 + 5x) = 4(x + 4) + -15 -2 + 8x + (1 * -1 + 5x * -1) = 4(x + 4) + -15 -2 + 8x + (-1 + -5x) = 4(x + 4) + -15 Reorder the terms: -2 + -1 + 8x + -5x = 4(x + 4) + -15 Combine like terms: -2 + -1 = -3 -3 + 8x + -5x = 4(x + 4) + -15 Combine like terms: 8x + -5x = 3x -3 + 3x = 4(x + 4) + -15 Reorder the terms: -3 + 3x = 4(4 + x) + -15 -3 + 3x = (4 * 4 + x * 4) + -15 -3 + 3x = (16 + 4x) + -15 Reorder the terms: -3 + 3x = 16 + -15 + 4x Combine like terms: 16 + -15 = 1 -3 + 3x = 1 + 4x Solving -3 + 3x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 3x + -4x = 1 + 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = 1 + 0 -3 + -1x = 1 Add '3' to each side of the equation. -3 + 3 + -1x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 1 + 3 -1x = 1 + 3 Combine like terms: 1 + 3 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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