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Simplifying 4(3x + 2) + 29 = 15x + 4 + -4x + 33 Reorder the terms: 4(2 + 3x) + 29 = 15x + 4 + -4x + 33 (2 * 4 + 3x * 4) + 29 = 15x + 4 + -4x + 33 (8 + 12x) + 29 = 15x + 4 + -4x + 33 Reorder the terms: 8 + 29 + 12x = 15x + 4 + -4x + 33 Combine like terms: 8 + 29 = 37 37 + 12x = 15x + 4 + -4x + 33 Reorder the terms: 37 + 12x = 4 + 33 + 15x + -4x Combine like terms: 4 + 33 = 37 37 + 12x = 37 + 15x + -4x Combine like terms: 15x + -4x = 11x 37 + 12x = 37 + 11x Add '-37' to each side of the equation. 37 + -37 + 12x = 37 + -37 + 11x Combine like terms: 37 + -37 = 0 0 + 12x = 37 + -37 + 11x 12x = 37 + -37 + 11x Combine like terms: 37 + -37 = 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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