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Simplifying 6(6 + 4x) = 7x + 19 (6 * 6 + 4x * 6) = 7x + 19 (36 + 24x) = 7x + 19 Reorder the terms: 36 + 24x = 19 + 7x Solving 36 + 24x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 36 + 24x + -7x = 19 + 7x + -7x Combine like terms: 24x + -7x = 17x 36 + 17x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + 17x = 19 + 0 36 + 17x = 19 Add '-36' to each side of the equation. 36 + -36 + 17x = 19 + -36 Combine like terms: 36 + -36 = 0 0 + 17x = 19 + -36 17x = 19 + -36 Combine like terms: 19 + -36 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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