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Simplifying 7x + -7 + 2x + 8 = -4(7x + 2) + -3(-8x + -3) Reorder the terms: -7 + 8 + 7x + 2x = -4(7x + 2) + -3(-8x + -3) Combine like terms: -7 + 8 = 1 1 + 7x + 2x = -4(7x + 2) + -3(-8x + -3) Combine like terms: 7x + 2x = 9x 1 + 9x = -4(7x + 2) + -3(-8x + -3) Reorder the terms: 1 + 9x = -4(2 + 7x) + -3(-8x + -3) 1 + 9x = (2 * -4 + 7x * -4) + -3(-8x + -3) 1 + 9x = (-8 + -28x) + -3(-8x + -3) Reorder the terms: 1 + 9x = -8 + -28x + -3(-3 + -8x) 1 + 9x = -8 + -28x + (-3 * -3 + -8x * -3) 1 + 9x = -8 + -28x + (9 + 24x) Reorder the terms: 1 + 9x = -8 + 9 + -28x + 24x Combine like terms: -8 + 9 = 1 1 + 9x = 1 + -28x + 24x Combine like terms: -28x + 24x = -4x 1 + 9x = 1 + -4x Add '-1' to each side of the equation. 1 + -1 + 9x = 1 + -1 + -4x Combine like terms: 1 + -1 = 0 0 + 9x = 1 + -1 + -4x 9x = 1 + -1 + -4x Combine like terms: 1 + -1 = 0 9x = 0 + -4x 9x = -4x Solving 9x = -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. 9x + 4x = -4x + 4x Combine like terms: 9x + 4x = 13x 13x = -4x + 4x Combine like terms: -4x + 4x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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