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Simplifying 5x + 7 + -8(x + 1) = 2x + 3 Reorder the terms: 5x + 7 + -8(1 + x) = 2x + 3 5x + 7 + (1 * -8 + x * -8) = 2x + 3 5x + 7 + (-8 + -8x) = 2x + 3 Reorder the terms: 7 + -8 + 5x + -8x = 2x + 3 Combine like terms: 7 + -8 = -1 -1 + 5x + -8x = 2x + 3 Combine like terms: 5x + -8x = -3x -1 + -3x = 2x + 3 Reorder the terms: -1 + -3x = 3 + 2x Solving -1 + -3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -3x + -2x = 3 + 2x + -2x Combine like terms: -3x + -2x = -5x -1 + -5x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -5x = 3 + 0 -1 + -5x = 3 Add '1' to each side of the equation. -1 + 1 + -5x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 3 + 1 -5x = 3 + 1 Combine like terms: 3 + 1 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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