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Simplifying 8(x + -3) = -7x + 21 Reorder the terms: 8(-3 + x) = -7x + 21 (-3 * 8 + x * 8) = -7x + 21 (-24 + 8x) = -7x + 21 Reorder the terms: -24 + 8x = 21 + -7x Solving -24 + 8x = 21 + -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. -24 + 8x + 7x = 21 + -7x + 7x Combine like terms: 8x + 7x = 15x -24 + 15x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -24 + 15x = 21 + 0 -24 + 15x = 21 Add '24' to each side of the equation. -24 + 24 + 15x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 21 + 24 15x = 21 + 24 Combine like terms: 21 + 24 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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