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Simplifying 5x + 7 + -8(x + 1) = 3x + 4 Reorder the terms: 5x + 7 + -8(1 + x) = 3x + 4 5x + 7 + (1 * -8 + x * -8) = 3x + 4 5x + 7 + (-8 + -8x) = 3x + 4 Reorder the terms: 7 + -8 + 5x + -8x = 3x + 4 Combine like terms: 7 + -8 = -1 -1 + 5x + -8x = 3x + 4 Combine like terms: 5x + -8x = -3x -1 + -3x = 3x + 4 Reorder the terms: -1 + -3x = 4 + 3x Solving -1 + -3x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + -3x + -3x = 4 + 3x + -3x Combine like terms: -3x + -3x = -6x -1 + -6x = 4 + 3x + -3x Combine like terms: 3x + -3x = 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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