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Simplifying 4x + 9 + -8(x + 1) = 5x + 3 Reorder the terms: 4x + 9 + -8(1 + x) = 5x + 3 4x + 9 + (1 * -8 + x * -8) = 5x + 3 4x + 9 + (-8 + -8x) = 5x + 3 Reorder the terms: 9 + -8 + 4x + -8x = 5x + 3 Combine like terms: 9 + -8 = 1 1 + 4x + -8x = 5x + 3 Combine like terms: 4x + -8x = -4x 1 + -4x = 5x + 3 Reorder the terms: 1 + -4x = 3 + 5x Solving 1 + -4x = 3 + 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. 1 + -4x + -5x = 3 + 5x + -5x Combine like terms: -4x + -5x = -9x 1 + -9x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -9x = 3 + 0 1 + -9x = 3 Add '-1' to each side of the equation. 1 + -1 + -9x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 3 + -1 -9x = 3 + -1 Combine like terms: 3 + -1 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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