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Simplifying 3(2x + -5) + 2x = -7 + -1(8 + -7x) + 4x Reorder the terms: 3(-5 + 2x) + 2x = -7 + -1(8 + -7x) + 4x (-5 * 3 + 2x * 3) + 2x = -7 + -1(8 + -7x) + 4x (-15 + 6x) + 2x = -7 + -1(8 + -7x) + 4x Combine like terms: 6x + 2x = 8x -15 + 8x = -7 + -1(8 + -7x) + 4x -15 + 8x = -7 + (8 * -1 + -7x * -1) + 4x -15 + 8x = -7 + (-8 + 7x) + 4x Combine like terms: -7 + -8 = -15 -15 + 8x = -15 + 7x + 4x Combine like terms: 7x + 4x = 11x -15 + 8x = -15 + 11x Add '15' to each side of the equation. -15 + 15 + 8x = -15 + 15 + 11x Combine like terms: -15 + 15 = 0 0 + 8x = -15 + 15 + 11x 8x = -15 + 15 + 11x Combine like terms: -15 + 15 = 0 8x = 0 + 11x 8x = 11x Solving 8x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8x + -11x = 11x + -11x Combine like terms: 8x + -11x = -3x -3x = 11x + -11x Combine like terms: 11x + -11x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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