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Simplifying 3(3x + -4) + -5 = 6x + 7 Reorder the terms: 3(-4 + 3x) + -5 = 6x + 7 (-4 * 3 + 3x * 3) + -5 = 6x + 7 (-12 + 9x) + -5 = 6x + 7 Reorder the terms: -12 + -5 + 9x = 6x + 7 Combine like terms: -12 + -5 = -17 -17 + 9x = 6x + 7 Reorder the terms: -17 + 9x = 7 + 6x Solving -17 + 9x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + 9x + -6x = 7 + 6x + -6x Combine like terms: 9x + -6x = 3x -17 + 3x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + 3x = 7 + 0 -17 + 3x = 7 Add '17' to each side of the equation. -17 + 17 + 3x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 7 + 17 3x = 7 + 17 Combine like terms: 7 + 17 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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