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Simplifying 10x + 18 + -1(x + 50) = 2 + -1(x + 16) + 8x Reorder the terms: 10x + 18 + -1(50 + x) = 2 + -1(x + 16) + 8x 10x + 18 + (50 * -1 + x * -1) = 2 + -1(x + 16) + 8x 10x + 18 + (-50 + -1x) = 2 + -1(x + 16) + 8x Reorder the terms: 18 + -50 + 10x + -1x = 2 + -1(x + 16) + 8x Combine like terms: 18 + -50 = -32 -32 + 10x + -1x = 2 + -1(x + 16) + 8x Combine like terms: 10x + -1x = 9x -32 + 9x = 2 + -1(x + 16) + 8x Reorder the terms: -32 + 9x = 2 + -1(16 + x) + 8x -32 + 9x = 2 + (16 * -1 + x * -1) + 8x -32 + 9x = 2 + (-16 + -1x) + 8x Combine like terms: 2 + -16 = -14 -32 + 9x = -14 + -1x + 8x Combine like terms: -1x + 8x = 7x -32 + 9x = -14 + 7x Solving -32 + 9x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -32 + 9x + -7x = -14 + 7x + -7x Combine like terms: 9x + -7x = 2x -32 + 2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 2x = -14 + 0 -32 + 2x = -14 Add '32' to each side of the equation. -32 + 32 + 2x = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -14 + 32 2x = -14 + 32 Combine like terms: -14 + 32 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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