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Simplifying 7(x + -5) + 8x = -13 + 4x Reorder the terms: 7(-5 + x) + 8x = -13 + 4x (-5 * 7 + x * 7) + 8x = -13 + 4x (-35 + 7x) + 8x = -13 + 4x Combine like terms: 7x + 8x = 15x -35 + 15x = -13 + 4x Solving -35 + 15x = -13 + 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. -35 + 15x + -4x = -13 + 4x + -4x Combine like terms: 15x + -4x = 11x -35 + 11x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 11x = -13 + 0 -35 + 11x = -13 Add '35' to each side of the equation. -35 + 35 + 11x = -13 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = -13 + 35 11x = -13 + 35 Combine like terms: -13 + 35 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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