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Simplifying 8x + -2(x + 5) + -7 + 5x = -21 + 3x + 4 + x Reorder the terms: 8x + -2(5 + x) + -7 + 5x = -21 + 3x + 4 + x 8x + (5 * -2 + x * -2) + -7 + 5x = -21 + 3x + 4 + x 8x + (-10 + -2x) + -7 + 5x = -21 + 3x + 4 + x Reorder the terms: -10 + -7 + 8x + -2x + 5x = -21 + 3x + 4 + x Combine like terms: -10 + -7 = -17 -17 + 8x + -2x + 5x = -21 + 3x + 4 + x Combine like terms: 8x + -2x = 6x -17 + 6x + 5x = -21 + 3x + 4 + x Combine like terms: 6x + 5x = 11x -17 + 11x = -21 + 3x + 4 + x Reorder the terms: -17 + 11x = -21 + 4 + 3x + x Combine like terms: -21 + 4 = -17 -17 + 11x = -17 + 3x + x Combine like terms: 3x + x = 4x -17 + 11x = -17 + 4x Add '17' to each side of the equation. -17 + 17 + 11x = -17 + 17 + 4x Combine like terms: -17 + 17 = 0 0 + 11x = -17 + 17 + 4x 11x = -17 + 17 + 4x Combine like terms: -17 + 17 = 0 11x = 0 + 4x 11x = 4x Solving 11x = 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. 11x + -4x = 4x + -4x Combine like terms: 11x + -4x = 7x 7x = 4x + -4x Combine like terms: 4x + -4x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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