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Simplifying 5x + -3(6x + 4 + -13) = 7 + 2 + -4x Reorder the terms: 5x + -3(4 + -13 + 6x) = 7 + 2 + -4x Combine like terms: 4 + -13 = -9 5x + -3(-9 + 6x) = 7 + 2 + -4x 5x + (-9 * -3 + 6x * -3) = 7 + 2 + -4x 5x + (27 + -18x) = 7 + 2 + -4x Reorder the terms: 27 + 5x + -18x = 7 + 2 + -4x Combine like terms: 5x + -18x = -13x 27 + -13x = 7 + 2 + -4x Combine like terms: 7 + 2 = 9 27 + -13x = 9 + -4x Solving 27 + -13x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 27 + -13x + 4x = 9 + -4x + 4x Combine like terms: -13x + 4x = -9x 27 + -9x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 27 + -9x = 9 + 0 27 + -9x = 9 Add '-27' to each side of the equation. 27 + -27 + -9x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = 9 + -27 -9x = 9 + -27 Combine like terms: 9 + -27 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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