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Simplifying 3(x + -1) + 21 = x + -6(x + 1) Reorder the terms: 3(-1 + x) + 21 = x + -6(x + 1) (-1 * 3 + x * 3) + 21 = x + -6(x + 1) (-3 + 3x) + 21 = x + -6(x + 1) Reorder the terms: -3 + 21 + 3x = x + -6(x + 1) Combine like terms: -3 + 21 = 18 18 + 3x = x + -6(x + 1) Reorder the terms: 18 + 3x = x + -6(1 + x) 18 + 3x = x + (1 * -6 + x * -6) 18 + 3x = x + (-6 + -6x) Reorder the terms: 18 + 3x = -6 + x + -6x Combine like terms: x + -6x = -5x 18 + 3x = -6 + -5x Solving 18 + 3x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 18 + 3x + 5x = -6 + -5x + 5x Combine like terms: 3x + 5x = 8x 18 + 8x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 8x = -6 + 0 18 + 8x = -6 Add '-18' to each side of the equation. 18 + -18 + 8x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = -6 + -18 8x = -6 + -18 Combine like terms: -6 + -18 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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