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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 = -13 -13 + 6x + -4x = 5x + 7 Combine like terms: 6x + -4x = 2x -13 + 2x = 5x + 7 Reorder the terms: -13 + 2x = 7 + 5x Solving -13 + 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. -13 + 2x + -5x = 7 + 5x + -5x Combine like terms: 2x + -5x = -3x -13 + -3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -3x = 7 + 0 -13 + -3x = 7 Add '13' to each side of the equation. -13 + 13 + -3x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 7 + 13 -3x = 7 + 13 Combine like terms: 7 + 13 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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