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Simplifying 6x + 9 + -4(x + 1) = 5x + 7 Reorder the terms: 6x + 9 + -4(1 + x) = 5x + 7 6x + 9 + (1 * -4 + x * -4) = 5x + 7 6x + 9 + (-4 + -4x) = 5x + 7 Reorder the terms: 9 + -4 + 6x + -4x = 5x + 7 Combine like terms: 9 + -4 = 5 5 + 6x + -4x = 5x + 7 Combine like terms: 6x + -4x = 2x 5 + 2x = 5x + 7 Reorder the terms: 5 + 2x = 7 + 5x Solving 5 + 2x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = 7 + 0 5 + -3x = 7 Add '-5' to each side of the equation. 5 + -5 + -3x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 7 + -5 -3x = 7 + -5 Combine like terms: 7 + -5 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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