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Simplifying 3(x + 1) = 8(x + -2) + -4 Reorder the terms: 3(1 + x) = 8(x + -2) + -4 (1 * 3 + x * 3) = 8(x + -2) + -4 (3 + 3x) = 8(x + -2) + -4 Reorder the terms: 3 + 3x = 8(-2 + x) + -4 3 + 3x = (-2 * 8 + x * 8) + -4 3 + 3x = (-16 + 8x) + -4 Reorder the terms: 3 + 3x = -16 + -4 + 8x Combine like terms: -16 + -4 = -20 3 + 3x = -20 + 8x Solving 3 + 3x = -20 + 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 = -20 + 8x + -8x Combine like terms: 3x + -8x = -5x 3 + -5x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -5x = -20 + 0 3 + -5x = -20 Add '-3' to each side of the equation. 3 + -3 + -5x = -20 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -20 + -3 -5x = -20 + -3 Combine like terms: -20 + -3 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6
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