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Simplifying x + 2(x + -16) = 5(x + -5) + 1 Reorder the terms: x + 2(-16 + x) = 5(x + -5) + 1 x + (-16 * 2 + x * 2) = 5(x + -5) + 1 x + (-32 + 2x) = 5(x + -5) + 1 Reorder the terms: -32 + x + 2x = 5(x + -5) + 1 Combine like terms: x + 2x = 3x -32 + 3x = 5(x + -5) + 1 Reorder the terms: -32 + 3x = 5(-5 + x) + 1 -32 + 3x = (-5 * 5 + x * 5) + 1 -32 + 3x = (-25 + 5x) + 1 Reorder the terms: -32 + 3x = -25 + 1 + 5x Combine like terms: -25 + 1 = -24 -32 + 3x = -24 + 5x Solving -32 + 3x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 3x + -5x = -24 + 5x + -5x Combine like terms: 3x + -5x = -2x -32 + -2x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + -2x = -24 + 0 -32 + -2x = -24 Add '32' to each side of the equation. -32 + 32 + -2x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -24 + 32 -2x = -24 + 32 Combine like terms: -24 + 32 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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