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Simplifying 5x + 8 + -2(x + 1) = 7x + 9 Reorder the terms: 5x + 8 + -2(1 + x) = 7x + 9 5x + 8 + (1 * -2 + x * -2) = 7x + 9 5x + 8 + (-2 + -2x) = 7x + 9 Reorder the terms: 8 + -2 + 5x + -2x = 7x + 9 Combine like terms: 8 + -2 = 6 6 + 5x + -2x = 7x + 9 Combine like terms: 5x + -2x = 3x 6 + 3x = 7x + 9 Reorder the terms: 6 + 3x = 9 + 7x Solving 6 + 3x = 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. 6 + 3x + -7x = 9 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = 9 + 0 6 + -4x = 9 Add '-6' to each side of the equation. 6 + -6 + -4x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 9 + -6 -4x = 9 + -6 Combine like terms: 9 + -6 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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