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Simplifying 7(8x + -3) + x = -7x + -21 Reorder the terms: 7(-3 + 8x) + x = -7x + -21 (-3 * 7 + 8x * 7) + x = -7x + -21 (-21 + 56x) + x = -7x + -21 Combine like terms: 56x + x = 57x -21 + 57x = -7x + -21 Reorder the terms: -21 + 57x = -21 + -7x Add '21' to each side of the equation. -21 + 21 + 57x = -21 + 21 + -7x Combine like terms: -21 + 21 = 0 0 + 57x = -21 + 21 + -7x 57x = -21 + 21 + -7x Combine like terms: -21 + 21 = 0 57x = 0 + -7x 57x = -7x Solving 57x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 57x + 7x = -7x + 7x Combine like terms: 57x + 7x = 64x 64x = -7x + 7x Combine like terms: -7x + 7x = 0 64x = 0 Divide each side by '64'. x = 0 Simplifying x = 0
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