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Simplifying 5x + 2 + -3(x + 1) = 8x + 4 Reorder the terms: 5x + 2 + -3(1 + x) = 8x + 4 5x + 2 + (1 * -3 + x * -3) = 8x + 4 5x + 2 + (-3 + -3x) = 8x + 4 Reorder the terms: 2 + -3 + 5x + -3x = 8x + 4 Combine like terms: 2 + -3 = -1 -1 + 5x + -3x = 8x + 4 Combine like terms: 5x + -3x = 2x -1 + 2x = 8x + 4 Reorder the terms: -1 + 2x = 4 + 8x Solving -1 + 2x = 4 + 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. -1 + 2x + -8x = 4 + 8x + -8x Combine like terms: 2x + -8x = -6x -1 + -6x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -6x = 4 + 0 -1 + -6x = 4 Add '1' to each side of the equation. -1 + 1 + -6x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 4 + 1 -6x = 4 + 1 Combine like terms: 4 + 1 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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