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Simplifying 3(3x + -7) + 5 = 2(2x + 12) Reorder the terms: 3(-7 + 3x) + 5 = 2(2x + 12) (-7 * 3 + 3x * 3) + 5 = 2(2x + 12) (-21 + 9x) + 5 = 2(2x + 12) Reorder the terms: -21 + 5 + 9x = 2(2x + 12) Combine like terms: -21 + 5 = -16 -16 + 9x = 2(2x + 12) Reorder the terms: -16 + 9x = 2(12 + 2x) -16 + 9x = (12 * 2 + 2x * 2) -16 + 9x = (24 + 4x) Solving -16 + 9x = 24 + 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. -16 + 9x + -4x = 24 + 4x + -4x Combine like terms: 9x + -4x = 5x -16 + 5x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 5x = 24 + 0 -16 + 5x = 24 Add '16' to each side of the equation. -16 + 16 + 5x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 24 + 16 5x = 24 + 16 Combine like terms: 24 + 16 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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