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Simplifying 4(3x + -1) + 7 = 2x + 3 + 9x Reorder the terms: 4(-1 + 3x) + 7 = 2x + 3 + 9x (-1 * 4 + 3x * 4) + 7 = 2x + 3 + 9x (-4 + 12x) + 7 = 2x + 3 + 9x Reorder the terms: -4 + 7 + 12x = 2x + 3 + 9x Combine like terms: -4 + 7 = 3 3 + 12x = 2x + 3 + 9x Reorder the terms: 3 + 12x = 3 + 2x + 9x Combine like terms: 2x + 9x = 11x 3 + 12x = 3 + 11x Add '-3' to each side of the equation. 3 + -3 + 12x = 3 + -3 + 11x Combine like terms: 3 + -3 = 0 0 + 12x = 3 + -3 + 11x 12x = 3 + -3 + 11x Combine like terms: 3 + -3 = 0 12x = 0 + 11x 12x = 11x Solving 12x = 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. 12x + -11x = 11x + -11x Combine like terms: 12x + -11x = 1x 1x = 11x + -11x Combine like terms: 11x + -11x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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