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Simplifying 3(x + 1) = 8(x + -2) + -6 Reorder the terms: 3(1 + x) = 8(x + -2) + -6 (1 * 3 + x * 3) = 8(x + -2) + -6 (3 + 3x) = 8(x + -2) + -6 Reorder the terms: 3 + 3x = 8(-2 + x) + -6 3 + 3x = (-2 * 8 + x * 8) + -6 3 + 3x = (-16 + 8x) + -6 Reorder the terms: 3 + 3x = -16 + -6 + 8x Combine like terms: -16 + -6 = -22 3 + 3x = -22 + 8x Solving 3 + 3x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 3x + -8x = -22 + 8x + -8x Combine like terms: 3x + -8x = -5x 3 + -5x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -5x = -22 + 0 3 + -5x = -22 Add '-3' to each side of the equation. 3 + -3 + -5x = -22 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -22 + -3 -5x = -22 + -3 Combine like terms: -22 + -3 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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