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Simplifying -1(3x + -4) + 17 + -6 = 3(-9 + 6x + -2) + 5 Reorder the terms: -1(-4 + 3x) + 17 + -6 = 3(-9 + 6x + -2) + 5 (-4 * -1 + 3x * -1) + 17 + -6 = 3(-9 + 6x + -2) + 5 (4 + -3x) + 17 + -6 = 3(-9 + 6x + -2) + 5 Reorder the terms: 4 + 17 + -6 + -3x = 3(-9 + 6x + -2) + 5 Combine like terms: 4 + 17 = 21 21 + -6 + -3x = 3(-9 + 6x + -2) + 5 Combine like terms: 21 + -6 = 15 15 + -3x = 3(-9 + 6x + -2) + 5 Reorder the terms: 15 + -3x = 3(-9 + -2 + 6x) + 5 Combine like terms: -9 + -2 = -11 15 + -3x = 3(-11 + 6x) + 5 15 + -3x = (-11 * 3 + 6x * 3) + 5 15 + -3x = (-33 + 18x) + 5 Reorder the terms: 15 + -3x = -33 + 5 + 18x Combine like terms: -33 + 5 = -28 15 + -3x = -28 + 18x Solving 15 + -3x = -28 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15 + -3x + -18x = -28 + 18x + -18x Combine like terms: -3x + -18x = -21x 15 + -21x = -28 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -21x = -28 + 0 15 + -21x = -28 Add '-15' to each side of the equation. 15 + -15 + -21x = -28 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = -28 + -15 -21x = -28 + -15 Combine like terms: -28 + -15 = -43 -21x = -43 Divide each side by '-21'. x = 2.047619048 Simplifying x = 2.047619048
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