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Simplifying 4x * 2 = (5x + -4) + (6x + -2) Reorder the terms for easier multiplication: 4 * 2x = (5x + -4) + (6x + -2) Multiply 4 * 2 8x = (5x + -4) + (6x + -2) Reorder the terms: 8x = (-4 + 5x) + (6x + -2) Remove parenthesis around (-4 + 5x) 8x = -4 + 5x + (6x + -2) Reorder the terms: 8x = -4 + 5x + (-2 + 6x) Remove parenthesis around (-2 + 6x) 8x = -4 + 5x + -2 + 6x Reorder the terms: 8x = -4 + -2 + 5x + 6x Combine like terms: -4 + -2 = -6 8x = -6 + 5x + 6x Combine like terms: 5x + 6x = 11x 8x = -6 + 11x Solving 8x = -6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8x + -11x = -6 + 11x + -11x Combine like terms: 8x + -11x = -3x -3x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 -3x = -6 + 0 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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