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Simplifying 14 + [3(6x + -15) + 4] = 5x + -1 Reorder the terms: 14 + [3(-15 + 6x) + 4] = 5x + -1 14 + [(-15 * 3 + 6x * 3) + 4] = 5x + -1 14 + [(-45 + 18x) + 4] = 5x + -1 Reorder the terms: 14 + [-45 + 4 + 18x] = 5x + -1 Combine like terms: -45 + 4 = -41 14 + [-41 + 18x] = 5x + -1 Remove brackets around [-41 + 18x] 14 + -41 + 18x = 5x + -1 Combine like terms: 14 + -41 = -27 -27 + 18x = 5x + -1 Reorder the terms: -27 + 18x = -1 + 5x Solving -27 + 18x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 18x + -5x = -1 + 5x + -5x Combine like terms: 18x + -5x = 13x -27 + 13x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 13x = -1 + 0 -27 + 13x = -1 Add '27' to each side of the equation. -27 + 27 + 13x = -1 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = -1 + 27 13x = -1 + 27 Combine like terms: -1 + 27 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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