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Simplifying 5x + -7 + -1(2x + -1) = 3(x + -5) + 4(x + 3) Reorder the terms: 5x + -7 + -1(-1 + 2x) = 3(x + -5) + 4(x + 3) 5x + -7 + (-1 * -1 + 2x * -1) = 3(x + -5) + 4(x + 3) 5x + -7 + (1 + -2x) = 3(x + -5) + 4(x + 3) Reorder the terms: -7 + 1 + 5x + -2x = 3(x + -5) + 4(x + 3) Combine like terms: -7 + 1 = -6 -6 + 5x + -2x = 3(x + -5) + 4(x + 3) Combine like terms: 5x + -2x = 3x -6 + 3x = 3(x + -5) + 4(x + 3) Reorder the terms: -6 + 3x = 3(-5 + x) + 4(x + 3) -6 + 3x = (-5 * 3 + x * 3) + 4(x + 3) -6 + 3x = (-15 + 3x) + 4(x + 3) Reorder the terms: -6 + 3x = -15 + 3x + 4(3 + x) -6 + 3x = -15 + 3x + (3 * 4 + x * 4) -6 + 3x = -15 + 3x + (12 + 4x) Reorder the terms: -6 + 3x = -15 + 12 + 3x + 4x Combine like terms: -15 + 12 = -3 -6 + 3x = -3 + 3x + 4x Combine like terms: 3x + 4x = 7x -6 + 3x = -3 + 7x Solving -6 + 3x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 3x + -7x = -3 + 7x + -7x Combine like terms: 3x + -7x = -4x -6 + -4x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -4x = -3 + 0 -6 + -4x = -3 Add '6' to each side of the equation. -6 + 6 + -4x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -3 + 6 -4x = -3 + 6 Combine like terms: -3 + 6 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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