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Simplifying 4(3x + -2) + 5x = 6(2x + 8) + -12 Reorder the terms: 4(-2 + 3x) + 5x = 6(2x + 8) + -12 (-2 * 4 + 3x * 4) + 5x = 6(2x + 8) + -12 (-8 + 12x) + 5x = 6(2x + 8) + -12 Combine like terms: 12x + 5x = 17x -8 + 17x = 6(2x + 8) + -12 Reorder the terms: -8 + 17x = 6(8 + 2x) + -12 -8 + 17x = (8 * 6 + 2x * 6) + -12 -8 + 17x = (48 + 12x) + -12 Reorder the terms: -8 + 17x = 48 + -12 + 12x Combine like terms: 48 + -12 = 36 -8 + 17x = 36 + 12x Solving -8 + 17x = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 17x + -12x = 36 + 12x + -12x Combine like terms: 17x + -12x = 5x -8 + 5x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 5x = 36 + 0 -8 + 5x = 36 Add '8' to each side of the equation. -8 + 8 + 5x = 36 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 36 + 8 5x = 36 + 8 Combine like terms: 36 + 8 = 44 5x = 44 Divide each side by '5'. x = 8.8 Simplifying x = 8.8
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