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Simplifying 3x + -5 = 4x + -2(4 + -1x) Reorder the terms: -5 + 3x = 4x + -2(4 + -1x) -5 + 3x = 4x + (4 * -2 + -1x * -2) -5 + 3x = 4x + (-8 + 2x) Reorder the terms: -5 + 3x = -8 + 4x + 2x Combine like terms: 4x + 2x = 6x -5 + 3x = -8 + 6x Solving -5 + 3x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 3x + -6x = -8 + 6x + -6x Combine like terms: 3x + -6x = -3x -5 + -3x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -3x = -8 + 0 -5 + -3x = -8 Add '5' to each side of the equation. -5 + 5 + -3x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -8 + 5 -3x = -8 + 5 Combine like terms: -8 + 5 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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