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Simplifying -8x + 4x = 3(x + 1) + -5(x + -3) Combine like terms: -8x + 4x = -4x -4x = 3(x + 1) + -5(x + -3) Reorder the terms: -4x = 3(1 + x) + -5(x + -3) -4x = (1 * 3 + x * 3) + -5(x + -3) -4x = (3 + 3x) + -5(x + -3) Reorder the terms: -4x = 3 + 3x + -5(-3 + x) -4x = 3 + 3x + (-3 * -5 + x * -5) -4x = 3 + 3x + (15 + -5x) Reorder the terms: -4x = 3 + 15 + 3x + -5x Combine like terms: 3 + 15 = 18 -4x = 18 + 3x + -5x Combine like terms: 3x + -5x = -2x -4x = 18 + -2x Solving -4x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4x + 2x = 18 + -2x + 2x Combine like terms: -4x + 2x = -2x -2x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -2x = 18 + 0 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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