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Simplifying -5(4x + 1) + -3(3 + -1x) = 3(5x + 1) + -2 Reorder the terms: -5(1 + 4x) + -3(3 + -1x) = 3(5x + 1) + -2 (1 * -5 + 4x * -5) + -3(3 + -1x) = 3(5x + 1) + -2 (-5 + -20x) + -3(3 + -1x) = 3(5x + 1) + -2 -5 + -20x + (3 * -3 + -1x * -3) = 3(5x + 1) + -2 -5 + -20x + (-9 + 3x) = 3(5x + 1) + -2 Reorder the terms: -5 + -9 + -20x + 3x = 3(5x + 1) + -2 Combine like terms: -5 + -9 = -14 -14 + -20x + 3x = 3(5x + 1) + -2 Combine like terms: -20x + 3x = -17x -14 + -17x = 3(5x + 1) + -2 Reorder the terms: -14 + -17x = 3(1 + 5x) + -2 -14 + -17x = (1 * 3 + 5x * 3) + -2 -14 + -17x = (3 + 15x) + -2 Reorder the terms: -14 + -17x = 3 + -2 + 15x Combine like terms: 3 + -2 = 1 -14 + -17x = 1 + 15x Solving -14 + -17x = 1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -14 + -17x + -15x = 1 + 15x + -15x Combine like terms: -17x + -15x = -32x -14 + -32x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + -32x = 1 + 0 -14 + -32x = 1 Add '14' to each side of the equation. -14 + 14 + -32x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -32x = 1 + 14 -32x = 1 + 14 Combine like terms: 1 + 14 = 15 -32x = 15 Divide each side by '-32'. x = -0.46875 Simplifying x = -0.46875
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