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Simplifying 4(2x + 3) = 2 + 5(15 + -1x) Reorder the terms: 4(3 + 2x) = 2 + 5(15 + -1x) (3 * 4 + 2x * 4) = 2 + 5(15 + -1x) (12 + 8x) = 2 + 5(15 + -1x) 12 + 8x = 2 + (15 * 5 + -1x * 5) 12 + 8x = 2 + (75 + -5x) Combine like terms: 2 + 75 = 77 12 + 8x = 77 + -5x Solving 12 + 8x = 77 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 8x + 5x = 77 + -5x + 5x Combine like terms: 8x + 5x = 13x 12 + 13x = 77 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 13x = 77 + 0 12 + 13x = 77 Add '-12' to each side of the equation. 12 + -12 + 13x = 77 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 77 + -12 13x = 77 + -12 Combine like terms: 77 + -12 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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