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Simplifying X + -16(x + -5) + 1 = 2x + 4(x + -20) Reorder the terms: X + -16(-5 + x) + 1 = 2x + 4(x + -20) X + (-5 * -16 + x * -16) + 1 = 2x + 4(x + -20) X + (80 + -16x) + 1 = 2x + 4(x + -20) Reorder the terms: 80 + 1 + X + -16x = 2x + 4(x + -20) Combine like terms: 80 + 1 = 81 81 + X + -16x = 2x + 4(x + -20) Reorder the terms: 81 + X + -16x = 2x + 4(-20 + x) 81 + X + -16x = 2x + (-20 * 4 + x * 4) 81 + X + -16x = 2x + (-80 + 4x) Reorder the terms: 81 + X + -16x = -80 + 2x + 4x Combine like terms: 2x + 4x = 6x 81 + X + -16x = -80 + 6x Solving 81 + X + -16x = -80 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + X + -81 + -16x = -80 + -81 + 6x Reorder the terms: 81 + -81 + X + -16x = -80 + -81 + 6x Combine like terms: 81 + -81 = 0 0 + X + -16x = -80 + -81 + 6x X + -16x = -80 + -81 + 6x Combine like terms: -80 + -81 = -161 X + -16x = -161 + 6x Add '16x' to each side of the equation. X + -16x + 16x = -161 + 6x + 16x Combine like terms: -16x + 16x = 0 X + 0 = -161 + 6x + 16x X = -161 + 6x + 16x Combine like terms: 6x + 16x = 22x X = -161 + 22x Simplifying X = -161 + 22x
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