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Simplifying 5x + 9 + -8(x + 1) = 2x + 5 Reorder the terms: 5x + 9 + -8(1 + x) = 2x + 5 5x + 9 + (1 * -8 + x * -8) = 2x + 5 5x + 9 + (-8 + -8x) = 2x + 5 Reorder the terms: 9 + -8 + 5x + -8x = 2x + 5 Combine like terms: 9 + -8 = 1 1 + 5x + -8x = 2x + 5 Combine like terms: 5x + -8x = -3x 1 + -3x = 2x + 5 Reorder the terms: 1 + -3x = 5 + 2x Solving 1 + -3x = 5 + 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 = 5 + 2x + -2x Combine like terms: -3x + -2x = -5x 1 + -5x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -5x = 5 + 0 1 + -5x = 5 Add '-1' to each side of the equation. 1 + -1 + -5x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 5 + -1 -5x = 5 + -1 Combine like terms: 5 + -1 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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