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Simplifying 5x + 9 + -8(x + 1) = 4x + 7 Reorder the terms: 5x + 9 + -8(1 + x) = 4x + 7 5x + 9 + (1 * -8 + x * -8) = 4x + 7 5x + 9 + (-8 + -8x) = 4x + 7 Reorder the terms: 9 + -8 + 5x + -8x = 4x + 7 Combine like terms: 9 + -8 = 1 1 + 5x + -8x = 4x + 7 Combine like terms: 5x + -8x = -3x 1 + -3x = 4x + 7 Reorder the terms: 1 + -3x = 7 + 4x Solving 1 + -3x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -3x + -4x = 7 + 4x + -4x Combine like terms: -3x + -4x = -7x 1 + -7x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -7x = 7 + 0 1 + -7x = 7 Add '-1' to each side of the equation. 1 + -1 + -7x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 7 + -1 -7x = 7 + -1 Combine like terms: 7 + -1 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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