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Simplifying x + -15 = 2(4x + 2) + 9 Reorder the terms: -15 + x = 2(4x + 2) + 9 Reorder the terms: -15 + x = 2(2 + 4x) + 9 -15 + x = (2 * 2 + 4x * 2) + 9 -15 + x = (4 + 8x) + 9 Reorder the terms: -15 + x = 4 + 9 + 8x Combine like terms: 4 + 9 = 13 -15 + x = 13 + 8x Solving -15 + x = 13 + 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. -15 + x + -8x = 13 + 8x + -8x Combine like terms: x + -8x = -7x -15 + -7x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -7x = 13 + 0 -15 + -7x = 13 Add '15' to each side of the equation. -15 + 15 + -7x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 13 + 15 -7x = 13 + 15 Combine like terms: 13 + 15 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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