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Simplifying -1x + -6(-5 + -3x) = 2(-2x + 9) + -5 -1x + (-5 * -6 + -3x * -6) = 2(-2x + 9) + -5 -1x + (30 + 18x) = 2(-2x + 9) + -5 Reorder the terms: 30 + -1x + 18x = 2(-2x + 9) + -5 Combine like terms: -1x + 18x = 17x 30 + 17x = 2(-2x + 9) + -5 Reorder the terms: 30 + 17x = 2(9 + -2x) + -5 30 + 17x = (9 * 2 + -2x * 2) + -5 30 + 17x = (18 + -4x) + -5 Reorder the terms: 30 + 17x = 18 + -5 + -4x Combine like terms: 18 + -5 = 13 30 + 17x = 13 + -4x Solving 30 + 17x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 30 + 17x + 4x = 13 + -4x + 4x Combine like terms: 17x + 4x = 21x 30 + 21x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 30 + 21x = 13 + 0 30 + 21x = 13 Add '-30' to each side of the equation. 30 + -30 + 21x = 13 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = 13 + -30 21x = 13 + -30 Combine like terms: 13 + -30 = -17 21x = -17 Divide each side by '21'. x = -0.8095238095 Simplifying x = -0.8095238095
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