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Simplifying 35 + (27 + -15x) + -1(18x + -30) = 14x + -1(20 + 5x) Remove parenthesis 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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