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Simplifying 8(x + 4) + -2 = 5x + 3 Reorder the terms: 8(4 + x) + -2 = 5x + 3 (4 * 8 + x * 8) + -2 = 5x + 3 (32 + 8x) + -2 = 5x + 3 Reorder the terms: 32 + -2 + 8x = 5x + 3 Combine like terms: 32 + -2 = 30 30 + 8x = 5x + 3 Reorder the terms: 30 + 8x = 3 + 5x Solving 30 + 8x = 3 + 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. 30 + 8x + -5x = 3 + 5x + -5x Combine like terms: 8x + -5x = 3x 30 + 3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 3x = 3 + 0 30 + 3x = 3 Add '-30' to each side of the equation. 30 + -30 + 3x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 3 + -30 3x = 3 + -30 Combine like terms: 3 + -30 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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