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Simplifying 8x + -4 = 5(x + 1) + 3 + -9 Reorder the terms: -4 + 8x = 5(x + 1) + 3 + -9 Reorder the terms: -4 + 8x = 5(1 + x) + 3 + -9 -4 + 8x = (1 * 5 + x * 5) + 3 + -9 -4 + 8x = (5 + 5x) + 3 + -9 Reorder the terms: -4 + 8x = 5 + 3 + -9 + 5x Combine like terms: 5 + 3 = 8 -4 + 8x = 8 + -9 + 5x Combine like terms: 8 + -9 = -1 -4 + 8x = -1 + 5x Solving -4 + 8x = -1 + 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. -4 + 8x + -5x = -1 + 5x + -5x Combine like terms: 8x + -5x = 3x -4 + 3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x = -1 + 0 -4 + 3x = -1 Add '4' to each side of the equation. -4 + 4 + 3x = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -1 + 4 3x = -1 + 4 Combine like terms: -1 + 4 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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