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Simplifying 2(3x + 19) + 4 = (2x + 3) * 6 Reorder the terms: 2(19 + 3x) + 4 = (2x + 3) * 6 (19 * 2 + 3x * 2) + 4 = (2x + 3) * 6 (38 + 6x) + 4 = (2x + 3) * 6 Reorder the terms: 38 + 4 + 6x = (2x + 3) * 6 Combine like terms: 38 + 4 = 42 42 + 6x = (2x + 3) * 6 Reorder the terms: 42 + 6x = (3 + 2x) * 6 Reorder the terms for easier multiplication: 42 + 6x = 6(3 + 2x) 42 + 6x = (3 * 6 + 2x * 6) 42 + 6x = (18 + 12x) Solving 42 + 6x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 6x + -12x = 18 + 12x + -12x Combine like terms: 6x + -12x = -6x 42 + -6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -6x = 18 + 0 42 + -6x = 18 Add '-42' to each side of the equation. 42 + -42 + -6x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 18 + -42 -6x = 18 + -42 Combine like terms: 18 + -42 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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