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Simplifying 4x + 3(2 + -5x) = x + 6 4x + (2 * 3 + -5x * 3) = x + 6 4x + (6 + -15x) = x + 6 Reorder the terms: 6 + 4x + -15x = x + 6 Combine like terms: 4x + -15x = -11x 6 + -11x = x + 6 Reorder the terms: 6 + -11x = 6 + x Add '-6' to each side of the equation. 6 + -6 + -11x = 6 + -6 + x Combine like terms: 6 + -6 = 0 0 + -11x = 6 + -6 + x -11x = 6 + -6 + x Combine like terms: 6 + -6 = 0 -11x = 0 + x -11x = x Solving -11x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11x + -1x = x + -1x Combine like terms: -11x + -1x = -12x -12x = x + -1x Combine like terms: x + -1x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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