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Simplifying 3x + -2(x + 16) = 4x + -1(x + -10) Reorder the terms: 3x + -2(16 + x) = 4x + -1(x + -10) 3x + (16 * -2 + x * -2) = 4x + -1(x + -10) 3x + (-32 + -2x) = 4x + -1(x + -10) Reorder the terms: -32 + 3x + -2x = 4x + -1(x + -10) Combine like terms: 3x + -2x = 1x -32 + 1x = 4x + -1(x + -10) Reorder the terms: -32 + 1x = 4x + -1(-10 + x) -32 + 1x = 4x + (-10 * -1 + x * -1) -32 + 1x = 4x + (10 + -1x) Reorder the terms: -32 + 1x = 10 + 4x + -1x Combine like terms: 4x + -1x = 3x -32 + 1x = 10 + 3x Solving -32 + 1x = 10 + 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. -32 + 1x + -3x = 10 + 3x + -3x Combine like terms: 1x + -3x = -2x -32 + -2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -2x = 10 + 0 -32 + -2x = 10 Add '32' to each side of the equation. -32 + 32 + -2x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 10 + 32 -2x = 10 + 32 Combine like terms: 10 + 32 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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