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Simplifying 35 + [27 + -15x] + -1[18x + -30] = 14x + -1[20 + 5x] Remove brackets around [27 + -15x] 35 + 27 + -15x + -1[18x + -30] = 14x + -1[20 + 5x] Reorder the terms: 35 + 27 + -15x + -1[-30 + 18x] = 14x + -1[20 + 5x] 35 + 27 + -15x + [-30 * -1 + 18x * -1] = 14x + -1[20 + 5x] 35 + 27 + -15x + [30 + -18x] = 14x + -1[20 + 5x] Reorder the terms: 35 + 27 + 30 + -15x + -18x = 14x + -1[20 + 5x] Combine like terms: 35 + 27 = 62 62 + 30 + -15x + -18x = 14x + -1[20 + 5x] Combine like terms: 62 + 30 = 92 92 + -15x + -18x = 14x + -1[20 + 5x] Combine like terms: -15x + -18x = -33x 92 + -33x = 14x + -1[20 + 5x] 92 + -33x = 14x + [20 * -1 + 5x * -1] 92 + -33x = 14x + [-20 + -5x] Reorder the terms: 92 + -33x = -20 + 14x + -5x Combine like terms: 14x + -5x = 9x 92 + -33x = -20 + 9x Solving 92 + -33x = -20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 92 + -33x + -9x = -20 + 9x + -9x Combine like terms: -33x + -9x = -42x 92 + -42x = -20 + 9x + -9x Combine like terms: 9x + -9x = 0 92 + -42x = -20 + 0 92 + -42x = -20 Add '-92' to each side of the equation. 92 + -92 + -42x = -20 + -92 Combine like terms: 92 + -92 = 0 0 + -42x = -20 + -92 -42x = -20 + -92 Combine like terms: -20 + -92 = -112 -42x = -112 Divide each side by '-42'. x = 2.666666667 Simplifying x = 2.666666667
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