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Simplifying 5x + -4(3x + 1) + 6x = -4 + 11x Reorder the terms: 5x + -4(1 + 3x) + 6x = -4 + 11x 5x + (1 * -4 + 3x * -4) + 6x = -4 + 11x 5x + (-4 + -12x) + 6x = -4 + 11x Reorder the terms: -4 + 5x + -12x + 6x = -4 + 11x Combine like terms: 5x + -12x = -7x -4 + -7x + 6x = -4 + 11x Combine like terms: -7x + 6x = -1x -4 + -1x = -4 + 11x Add '4' to each side of the equation. -4 + 4 + -1x = -4 + 4 + 11x Combine like terms: -4 + 4 = 0 0 + -1x = -4 + 4 + 11x -1x = -4 + 4 + 11x Combine like terms: -4 + 4 = 0 -1x = 0 + 11x -1x = 11x Solving -1x = 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. -1x + -11x = 11x + -11x Combine like terms: -1x + -11x = -12x -12x = 11x + -11x Combine like terms: 11x + -11x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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