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Simplifying 15x + -23 = 2(4x + 20) Reorder the terms: -23 + 15x = 2(4x + 20) Reorder the terms: -23 + 15x = 2(20 + 4x) -23 + 15x = (20 * 2 + 4x * 2) -23 + 15x = (40 + 8x) Solving -23 + 15x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -23 + 15x + -8x = 40 + 8x + -8x Combine like terms: 15x + -8x = 7x -23 + 7x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -23 + 7x = 40 + 0 -23 + 7x = 40 Add '23' to each side of the equation. -23 + 23 + 7x = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 7x = 40 + 23 7x = 40 + 23 Combine like terms: 40 + 23 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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