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Simplifying 4(3x + 8) + -9 = (6x + -8) * 39 Reorder the terms: 4(8 + 3x) + -9 = (6x + -8) * 39 (8 * 4 + 3x * 4) + -9 = (6x + -8) * 39 (32 + 12x) + -9 = (6x + -8) * 39 Reorder the terms: 32 + -9 + 12x = (6x + -8) * 39 Combine like terms: 32 + -9 = 23 23 + 12x = (6x + -8) * 39 Reorder the terms: 23 + 12x = (-8 + 6x) * 39 Reorder the terms for easier multiplication: 23 + 12x = 39(-8 + 6x) 23 + 12x = (-8 * 39 + 6x * 39) 23 + 12x = (-312 + 234x) Solving 23 + 12x = -312 + 234x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-234x' to each side of the equation. 23 + 12x + -234x = -312 + 234x + -234x Combine like terms: 12x + -234x = -222x 23 + -222x = -312 + 234x + -234x Combine like terms: 234x + -234x = 0 23 + -222x = -312 + 0 23 + -222x = -312 Add '-23' to each side of the equation. 23 + -23 + -222x = -312 + -23 Combine like terms: 23 + -23 = 0 0 + -222x = -312 + -23 -222x = -312 + -23 Combine like terms: -312 + -23 = -335 -222x = -335 Divide each side by '-222'. x = 1.509009009 Simplifying x = 1.509009009
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