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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 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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