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