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Simplifying 5(2x + 3) + 15 = 4(3x + 5) + 23 Reorder the terms: 5(3 + 2x) + 15 = 4(3x + 5) + 23 (3 * 5 + 2x * 5) + 15 = 4(3x + 5) + 23 (15 + 10x) + 15 = 4(3x + 5) + 23 Reorder the terms: 15 + 15 + 10x = 4(3x + 5) + 23 Combine like terms: 15 + 15 = 30 30 + 10x = 4(3x + 5) + 23 Reorder the terms: 30 + 10x = 4(5 + 3x) + 23 30 + 10x = (5 * 4 + 3x * 4) + 23 30 + 10x = (20 + 12x) + 23 Reorder the terms: 30 + 10x = 20 + 23 + 12x Combine like terms: 20 + 23 = 43 30 + 10x = 43 + 12x Solving 30 + 10x = 43 + 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. 30 + 10x + -12x = 43 + 12x + -12x Combine like terms: 10x + -12x = -2x 30 + -2x = 43 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -2x = 43 + 0 30 + -2x = 43 Add '-30' to each side of the equation. 30 + -30 + -2x = 43 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 43 + -30 -2x = 43 + -30 Combine like terms: 43 + -30 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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