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Simplifying 4x + 9 + -8(x + 1) = 3x + 5 Reorder the terms: 4x + 9 + -8(1 + x) = 3x + 5 4x + 9 + (1 * -8 + x * -8) = 3x + 5 4x + 9 + (-8 + -8x) = 3x + 5 Reorder the terms: 9 + -8 + 4x + -8x = 3x + 5 Combine like terms: 9 + -8 = 1 1 + 4x + -8x = 3x + 5 Combine like terms: 4x + -8x = -4x 1 + -4x = 3x + 5 Reorder the terms: 1 + -4x = 5 + 3x Solving 1 + -4x = 5 + 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 + -4x + -3x = 5 + 3x + -3x Combine like terms: -4x + -3x = -7x 1 + -7x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -7x = 5 + 0 1 + -7x = 5 Add '-1' to each side of the equation. 1 + -1 + -7x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 5 + -1 -7x = 5 + -1 Combine like terms: 5 + -1 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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