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Simplifying (3x + 4) * 3 = (5x + -8) * 2 Reorder the terms: (4 + 3x) * 3 = (5x + -8) * 2 Reorder the terms for easier multiplication: 3(4 + 3x) = (5x + -8) * 2 (4 * 3 + 3x * 3) = (5x + -8) * 2 (12 + 9x) = (5x + -8) * 2 Reorder the terms: 12 + 9x = (-8 + 5x) * 2 Reorder the terms for easier multiplication: 12 + 9x = 2(-8 + 5x) 12 + 9x = (-8 * 2 + 5x * 2) 12 + 9x = (-16 + 10x) Solving 12 + 9x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 9x + -10x = -16 + 10x + -10x Combine like terms: 9x + -10x = -1x 12 + -1x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -1x = -16 + 0 12 + -1x = -16 Add '-12' to each side of the equation. 12 + -12 + -1x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -16 + -12 -1x = -16 + -12 Combine like terms: -16 + -12 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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