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Simplifying 6x + -1(3x + -6) = 5x + -4 Reorder the terms: 6x + -1(-6 + 3x) = 5x + -4 6x + (-6 * -1 + 3x * -1) = 5x + -4 6x + (6 + -3x) = 5x + -4 Reorder the terms: 6 + 6x + -3x = 5x + -4 Combine like terms: 6x + -3x = 3x 6 + 3x = 5x + -4 Reorder the terms: 6 + 3x = -4 + 5x Solving 6 + 3x = -4 + 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. 6 + 3x + -5x = -4 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = -4 + 0 6 + -2x = -4 Add '-6' to each side of the equation. 6 + -6 + -2x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -4 + -6 -2x = -4 + -6 Combine like terms: -4 + -6 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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