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Simplifying 4x + 9 + -7(x + 1) = 5x + 9 Reorder the terms: 4x + 9 + -7(1 + x) = 5x + 9 4x + 9 + (1 * -7 + x * -7) = 5x + 9 4x + 9 + (-7 + -7x) = 5x + 9 Reorder the terms: 9 + -7 + 4x + -7x = 5x + 9 Combine like terms: 9 + -7 = 2 2 + 4x + -7x = 5x + 9 Combine like terms: 4x + -7x = -3x 2 + -3x = 5x + 9 Reorder the terms: 2 + -3x = 9 + 5x Solving 2 + -3x = 9 + 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. 2 + -3x + -5x = 9 + 5x + -5x Combine like terms: -3x + -5x = -8x 2 + -8x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -8x = 9 + 0 2 + -8x = 9 Add '-2' to each side of the equation. 2 + -2 + -8x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 9 + -2 -8x = 9 + -2 Combine like terms: 9 + -2 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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