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Simplifying 4x + 7 + -2(x + 1) = 7x + 9 Reorder the terms: 4x + 7 + -2(1 + x) = 7x + 9 4x + 7 + (1 * -2 + x * -2) = 7x + 9 4x + 7 + (-2 + -2x) = 7x + 9 Reorder the terms: 7 + -2 + 4x + -2x = 7x + 9 Combine like terms: 7 + -2 = 5 5 + 4x + -2x = 7x + 9 Combine like terms: 4x + -2x = 2x 5 + 2x = 7x + 9 Reorder the terms: 5 + 2x = 9 + 7x Solving 5 + 2x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 2x + -7x = 9 + 7x + -7x Combine like terms: 2x + -7x = -5x 5 + -5x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -5x = 9 + 0 5 + -5x = 9 Add '-5' to each side of the equation. 5 + -5 + -5x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 9 + -5 -5x = 9 + -5 Combine like terms: 9 + -5 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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