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Simplifying 6(2x + -5) + 8 = 5(3x + 7) + -9 Reorder the terms: 6(-5 + 2x) + 8 = 5(3x + 7) + -9 (-5 * 6 + 2x * 6) + 8 = 5(3x + 7) + -9 (-30 + 12x) + 8 = 5(3x + 7) + -9 Reorder the terms: -30 + 8 + 12x = 5(3x + 7) + -9 Combine like terms: -30 + 8 = -22 -22 + 12x = 5(3x + 7) + -9 Reorder the terms: -22 + 12x = 5(7 + 3x) + -9 -22 + 12x = (7 * 5 + 3x * 5) + -9 -22 + 12x = (35 + 15x) + -9 Reorder the terms: -22 + 12x = 35 + -9 + 15x Combine like terms: 35 + -9 = 26 -22 + 12x = 26 + 15x Solving -22 + 12x = 26 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -22 + 12x + -15x = 26 + 15x + -15x Combine like terms: 12x + -15x = -3x -22 + -3x = 26 + 15x + -15x Combine like terms: 15x + -15x = 0 -22 + -3x = 26 + 0 -22 + -3x = 26 Add '22' to each side of the equation. -22 + 22 + -3x = 26 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 26 + 22 -3x = 26 + 22 Combine like terms: 26 + 22 = 48 -3x = 48 Divide each side by '-3'. x = -16 Simplifying x = -16
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