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Simplifying 3(4x + 6) + 2(6x + 4) + 3 = 24x + 30 Reorder the terms: 3(6 + 4x) + 2(6x + 4) + 3 = 24x + 30 (6 * 3 + 4x * 3) + 2(6x + 4) + 3 = 24x + 30 (18 + 12x) + 2(6x + 4) + 3 = 24x + 30 Reorder the terms: 18 + 12x + 2(4 + 6x) + 3 = 24x + 30 18 + 12x + (4 * 2 + 6x * 2) + 3 = 24x + 30 18 + 12x + (8 + 12x) + 3 = 24x + 30 Reorder the terms: 18 + 8 + 3 + 12x + 12x = 24x + 30 Combine like terms: 18 + 8 = 26 26 + 3 + 12x + 12x = 24x + 30 Combine like terms: 26 + 3 = 29 29 + 12x + 12x = 24x + 30 Combine like terms: 12x + 12x = 24x 29 + 24x = 24x + 30 Reorder the terms: 29 + 24x = 30 + 24x Add '-24x' to each side of the equation. 29 + 24x + -24x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 29 + 0 = 30 + 24x + -24x 29 = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 29 = 30 + 0 29 = 30 Solving 29 = 30 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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