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Simplifying 10 + -1(x + 18) + 2x = 4x + 18 + -1(x + 50) Reorder the terms: 10 + -1(18 + x) + 2x = 4x + 18 + -1(x + 50) 10 + (18 * -1 + x * -1) + 2x = 4x + 18 + -1(x + 50) 10 + (-18 + -1x) + 2x = 4x + 18 + -1(x + 50) Combine like terms: 10 + -18 = -8 -8 + -1x + 2x = 4x + 18 + -1(x + 50) Combine like terms: -1x + 2x = 1x -8 + 1x = 4x + 18 + -1(x + 50) Reorder the terms: -8 + 1x = 4x + 18 + -1(50 + x) -8 + 1x = 4x + 18 + (50 * -1 + x * -1) -8 + 1x = 4x + 18 + (-50 + -1x) Reorder the terms: -8 + 1x = 18 + -50 + 4x + -1x Combine like terms: 18 + -50 = -32 -8 + 1x = -32 + 4x + -1x Combine like terms: 4x + -1x = 3x -8 + 1x = -32 + 3x Solving -8 + 1x = -32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 1x + -3x = -32 + 3x + -3x Combine like terms: 1x + -3x = -2x -8 + -2x = -32 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -2x = -32 + 0 -8 + -2x = -32 Add '8' to each side of the equation. -8 + 8 + -2x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -32 + 8 -2x = -32 + 8 Combine like terms: -32 + 8 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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