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Simplifying 4(3x + 2) + 5 = 5(2x + 3) + -2 Reorder the terms: 4(2 + 3x) + 5 = 5(2x + 3) + -2 (2 * 4 + 3x * 4) + 5 = 5(2x + 3) + -2 (8 + 12x) + 5 = 5(2x + 3) + -2 Reorder the terms: 8 + 5 + 12x = 5(2x + 3) + -2 Combine like terms: 8 + 5 = 13 13 + 12x = 5(2x + 3) + -2 Reorder the terms: 13 + 12x = 5(3 + 2x) + -2 13 + 12x = (3 * 5 + 2x * 5) + -2 13 + 12x = (15 + 10x) + -2 Reorder the terms: 13 + 12x = 15 + -2 + 10x Combine like terms: 15 + -2 = 13 13 + 12x = 13 + 10x Add '-13' to each side of the equation. 13 + -13 + 12x = 13 + -13 + 10x Combine like terms: 13 + -13 = 0 0 + 12x = 13 + -13 + 10x 12x = 13 + -13 + 10x Combine like terms: 13 + -13 = 0 12x = 0 + 10x 12x = 10x Solving 12x = 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. 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x 2x = 10x + -10x Combine like terms: 10x + -10x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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