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Simplifying 3x + 4(3x + -6) + 6 = -7(5x + 2) + -6x + 6 Reorder the terms: 3x + 4(-6 + 3x) + 6 = -7(5x + 2) + -6x + 6 3x + (-6 * 4 + 3x * 4) + 6 = -7(5x + 2) + -6x + 6 3x + (-24 + 12x) + 6 = -7(5x + 2) + -6x + 6 Reorder the terms: -24 + 6 + 3x + 12x = -7(5x + 2) + -6x + 6 Combine like terms: -24 + 6 = -18 -18 + 3x + 12x = -7(5x + 2) + -6x + 6 Combine like terms: 3x + 12x = 15x -18 + 15x = -7(5x + 2) + -6x + 6 Reorder the terms: -18 + 15x = -7(2 + 5x) + -6x + 6 -18 + 15x = (2 * -7 + 5x * -7) + -6x + 6 -18 + 15x = (-14 + -35x) + -6x + 6 Reorder the terms: -18 + 15x = -14 + 6 + -35x + -6x Combine like terms: -14 + 6 = -8 -18 + 15x = -8 + -35x + -6x Combine like terms: -35x + -6x = -41x -18 + 15x = -8 + -41x Solving -18 + 15x = -8 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -18 + 15x + 41x = -8 + -41x + 41x Combine like terms: 15x + 41x = 56x -18 + 56x = -8 + -41x + 41x Combine like terms: -41x + 41x = 0 -18 + 56x = -8 + 0 -18 + 56x = -8 Add '18' to each side of the equation. -18 + 18 + 56x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 56x = -8 + 18 56x = -8 + 18 Combine like terms: -8 + 18 = 10 56x = 10 Divide each side by '56'. x = 0.1785714286 Simplifying x = 0.1785714286
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