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Simplifying 5x + 9 + -7(x + 1) = 3x + 4 Reorder the terms: 5x + 9 + -7(1 + x) = 3x + 4 5x + 9 + (1 * -7 + x * -7) = 3x + 4 5x + 9 + (-7 + -7x) = 3x + 4 Reorder the terms: 9 + -7 + 5x + -7x = 3x + 4 Combine like terms: 9 + -7 = 2 2 + 5x + -7x = 3x + 4 Combine like terms: 5x + -7x = -2x 2 + -2x = 3x + 4 Reorder the terms: 2 + -2x = 4 + 3x Solving 2 + -2x = 4 + 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. 2 + -2x + -3x = 4 + 3x + -3x Combine like terms: -2x + -3x = -5x 2 + -5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -5x = 4 + 0 2 + -5x = 4 Add '-2' to each side of the equation. 2 + -2 + -5x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 4 + -2 -5x = 4 + -2 Combine like terms: 4 + -2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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