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Simplifying 3(4x + 5) + 4 = 3(5x + -6) Reorder the terms: 3(5 + 4x) + 4 = 3(5x + -6) (5 * 3 + 4x * 3) + 4 = 3(5x + -6) (15 + 12x) + 4 = 3(5x + -6) Reorder the terms: 15 + 4 + 12x = 3(5x + -6) Combine like terms: 15 + 4 = 19 19 + 12x = 3(5x + -6) Reorder the terms: 19 + 12x = 3(-6 + 5x) 19 + 12x = (-6 * 3 + 5x * 3) 19 + 12x = (-18 + 15x) Solving 19 + 12x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 19 + 12x + -15x = -18 + 15x + -15x Combine like terms: 12x + -15x = -3x 19 + -3x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 19 + -3x = -18 + 0 19 + -3x = -18 Add '-19' to each side of the equation. 19 + -19 + -3x = -18 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = -18 + -19 -3x = -18 + -19 Combine like terms: -18 + -19 = -37 -3x = -37 Divide each side by '-3'. x = 12.33333333 Simplifying x = 12.33333333
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