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Simplifying -7x + 30 + -6(x + -1) = 9x + -1(4x + -5) + -8x + 1 Reorder the terms: -7x + 30 + -6(-1 + x) = 9x + -1(4x + -5) + -8x + 1 -7x + 30 + (-1 * -6 + x * -6) = 9x + -1(4x + -5) + -8x + 1 -7x + 30 + (6 + -6x) = 9x + -1(4x + -5) + -8x + 1 Reorder the terms: 30 + 6 + -7x + -6x = 9x + -1(4x + -5) + -8x + 1 Combine like terms: 30 + 6 = 36 36 + -7x + -6x = 9x + -1(4x + -5) + -8x + 1 Combine like terms: -7x + -6x = -13x 36 + -13x = 9x + -1(4x + -5) + -8x + 1 Reorder the terms: 36 + -13x = 9x + -1(-5 + 4x) + -8x + 1 36 + -13x = 9x + (-5 * -1 + 4x * -1) + -8x + 1 36 + -13x = 9x + (5 + -4x) + -8x + 1 Reorder the terms: 36 + -13x = 5 + 1 + 9x + -4x + -8x Combine like terms: 5 + 1 = 6 36 + -13x = 6 + 9x + -4x + -8x Combine like terms: 9x + -4x = 5x 36 + -13x = 6 + 5x + -8x Combine like terms: 5x + -8x = -3x 36 + -13x = 6 + -3x Solving 36 + -13x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + -13x + 3x = 6 + -3x + 3x Combine like terms: -13x + 3x = -10x 36 + -10x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + -10x = 6 + 0 36 + -10x = 6 Add '-36' to each side of the equation. 36 + -36 + -10x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 6 + -36 -10x = 6 + -36 Combine like terms: 6 + -36 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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