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Simplifying 4x + -5(2x + 1) = 1x + -5 Reorder the terms: 4x + -5(1 + 2x) = 1x + -5 4x + (1 * -5 + 2x * -5) = 1x + -5 4x + (-5 + -10x) = 1x + -5 Reorder the terms: -5 + 4x + -10x = 1x + -5 Combine like terms: 4x + -10x = -6x -5 + -6x = 1x + -5 Reorder the terms: -5 + -6x = -5 + 1x Add '5' to each side of the equation. -5 + 5 + -6x = -5 + 5 + 1x Combine like terms: -5 + 5 = 0 0 + -6x = -5 + 5 + 1x -6x = -5 + 5 + 1x Combine like terms: -5 + 5 = 0 -6x = 0 + 1x -6x = 1x Solving -6x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6x + -1x = 1x + -1x Combine like terms: -6x + -1x = -7x -7x = 1x + -1x Combine like terms: 1x + -1x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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