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Simplifying 3(4x + -3) + 5 = 5(2x + 4) + -6 Reorder the terms: 3(-3 + 4x) + 5 = 5(2x + 4) + -6 (-3 * 3 + 4x * 3) + 5 = 5(2x + 4) + -6 (-9 + 12x) + 5 = 5(2x + 4) + -6 Reorder the terms: -9 + 5 + 12x = 5(2x + 4) + -6 Combine like terms: -9 + 5 = -4 -4 + 12x = 5(2x + 4) + -6 Reorder the terms: -4 + 12x = 5(4 + 2x) + -6 -4 + 12x = (4 * 5 + 2x * 5) + -6 -4 + 12x = (20 + 10x) + -6 Reorder the terms: -4 + 12x = 20 + -6 + 10x Combine like terms: 20 + -6 = 14 -4 + 12x = 14 + 10x Solving -4 + 12x = 14 + 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. -4 + 12x + -10x = 14 + 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = 14 + 0 -4 + 2x = 14 Add '4' to each side of the equation. -4 + 4 + 2x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 14 + 4 2x = 14 + 4 Combine like terms: 14 + 4 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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