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Simplifying -7x + 15 = 9 + -2(4x + -3) Reorder the terms: 15 + -7x = 9 + -2(4x + -3) Reorder the terms: 15 + -7x = 9 + -2(-3 + 4x) 15 + -7x = 9 + (-3 * -2 + 4x * -2) 15 + -7x = 9 + (6 + -8x) Combine like terms: 9 + 6 = 15 15 + -7x = 15 + -8x Add '-15' to each side of the equation. 15 + -15 + -7x = 15 + -15 + -8x Combine like terms: 15 + -15 = 0 0 + -7x = 15 + -15 + -8x -7x = 15 + -15 + -8x Combine like terms: 15 + -15 = 0 -7x = 0 + -8x -7x = -8x Solving -7x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -7x + 8x = -8x + 8x Combine like terms: -7x + 8x = 1x 1x = -8x + 8x Combine like terms: -8x + 8x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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