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Simplifying 4x + 5(3 + -2x) + 12x + 3 = 6(x + 2) + -15 + 9 4x + (3 * 5 + -2x * 5) + 12x + 3 = 6(x + 2) + -15 + 9 4x + (15 + -10x) + 12x + 3 = 6(x + 2) + -15 + 9 Reorder the terms: 15 + 3 + 4x + -10x + 12x = 6(x + 2) + -15 + 9 Combine like terms: 15 + 3 = 18 18 + 4x + -10x + 12x = 6(x + 2) + -15 + 9 Combine like terms: 4x + -10x = -6x 18 + -6x + 12x = 6(x + 2) + -15 + 9 Combine like terms: -6x + 12x = 6x 18 + 6x = 6(x + 2) + -15 + 9 Reorder the terms: 18 + 6x = 6(2 + x) + -15 + 9 18 + 6x = (2 * 6 + x * 6) + -15 + 9 18 + 6x = (12 + 6x) + -15 + 9 Reorder the terms: 18 + 6x = 12 + -15 + 9 + 6x Combine like terms: 12 + -15 = -3 18 + 6x = -3 + 9 + 6x Combine like terms: -3 + 9 = 6 18 + 6x = 6 + 6x Add '-6x' to each side of the equation. 18 + 6x + -6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 0 = 6 + 6x + -6x 18 = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 18 = 6 + 0 18 = 6 Solving 18 = 6 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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