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Simplifying 14 + [3(6x + -15) + -5] = 5x + -1 Reorder the terms: 14 + [3(-15 + 6x) + -5] = 5x + -1 14 + [(-15 * 3 + 6x * 3) + -5] = 5x + -1 14 + [(-45 + 18x) + -5] = 5x + -1 Reorder the terms: 14 + [-45 + -5 + 18x] = 5x + -1 Combine like terms: -45 + -5 = -50 14 + [-50 + 18x] = 5x + -1 Remove brackets around [-50 + 18x] 14 + -50 + 18x = 5x + -1 Combine like terms: 14 + -50 = -36 -36 + 18x = 5x + -1 Reorder the terms: -36 + 18x = -1 + 5x Solving -36 + 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. -36 + 18x + -5x = -1 + 5x + -5x Combine like terms: 18x + -5x = 13x -36 + 13x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 13x = -1 + 0 -36 + 13x = -1 Add '36' to each side of the equation. -36 + 36 + 13x = -1 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = -1 + 36 13x = -1 + 36 Combine like terms: -1 + 36 = 35 13x = 35 Divide each side by '13'. x = 2.692307692 Simplifying x = 2.692307692
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