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Simplifying 46 = 2(4x + 5) + (2x + 3) Reorder the terms: 46 = 2(5 + 4x) + (2x + 3) 46 = (5 * 2 + 4x * 2) + (2x + 3) 46 = (10 + 8x) + (2x + 3) Reorder the terms: 46 = 10 + 8x + (3 + 2x) Remove parenthesis around (3 + 2x) 46 = 10 + 8x + 3 + 2x Reorder the terms: 46 = 10 + 3 + 8x + 2x Combine like terms: 10 + 3 = 13 46 = 13 + 8x + 2x Combine like terms: 8x + 2x = 10x 46 = 13 + 10x Solving 46 = 13 + 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. 46 + -10x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -10x = 13 + 0 46 + -10x = 13 Add '-46' to each side of the equation. 46 + -46 + -10x = 13 + -46 Combine like terms: 46 + -46 = 0 0 + -10x = 13 + -46 -10x = 13 + -46 Combine like terms: 13 + -46 = -33 -10x = -33 Divide each side by '-10'. x = 3.3 Simplifying x = 3.3
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