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Simplifying 2x + 8 + -4(x + 1) = 7x + 9 Reorder the terms: 2x + 8 + -4(1 + x) = 7x + 9 2x + 8 + (1 * -4 + x * -4) = 7x + 9 2x + 8 + (-4 + -4x) = 7x + 9 Reorder the terms: 8 + -4 + 2x + -4x = 7x + 9 Combine like terms: 8 + -4 = 4 4 + 2x + -4x = 7x + 9 Combine like terms: 2x + -4x = -2x 4 + -2x = 7x + 9 Reorder the terms: 4 + -2x = 9 + 7x Solving 4 + -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. 4 + -2x + -7x = 9 + 7x + -7x Combine like terms: -2x + -7x = -9x 4 + -9x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -9x = 9 + 0 4 + -9x = 9 Add '-4' to each side of the equation. 4 + -4 + -9x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 9 + -4 -9x = 9 + -4 Combine like terms: 9 + -4 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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