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Simplifying 4(2x + 3) + 3(3x + -5) = 116 Reorder the terms: 4(3 + 2x) + 3(3x + -5) = 116 (3 * 4 + 2x * 4) + 3(3x + -5) = 116 (12 + 8x) + 3(3x + -5) = 116 Reorder the terms: 12 + 8x + 3(-5 + 3x) = 116 12 + 8x + (-5 * 3 + 3x * 3) = 116 12 + 8x + (-15 + 9x) = 116 Reorder the terms: 12 + -15 + 8x + 9x = 116 Combine like terms: 12 + -15 = -3 -3 + 8x + 9x = 116 Combine like terms: 8x + 9x = 17x -3 + 17x = 116 Solving -3 + 17x = 116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 17x = 116 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = 116 + 3 17x = 116 + 3 Combine like terms: 116 + 3 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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