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Simplifying 6x + 5 + -2(x + 1) = 9x + 7 Reorder the terms: 6x + 5 + -2(1 + x) = 9x + 7 6x + 5 + (1 * -2 + x * -2) = 9x + 7 6x + 5 + (-2 + -2x) = 9x + 7 Reorder the terms: 5 + -2 + 6x + -2x = 9x + 7 Combine like terms: 5 + -2 = 3 3 + 6x + -2x = 9x + 7 Combine like terms: 6x + -2x = 4x 3 + 4x = 9x + 7 Reorder the terms: 3 + 4x = 7 + 9x Solving 3 + 4x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 4x + -9x = 7 + 9x + -9x Combine like terms: 4x + -9x = -5x 3 + -5x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -5x = 7 + 0 3 + -5x = 7 Add '-3' to each side of the equation. 3 + -3 + -5x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 7 + -3 -5x = 7 + -3 Combine like terms: 7 + -3 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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