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Simplifying 2x + -6 + -3x = 5x + -1(4x + 2) Reorder the terms: -6 + 2x + -3x = 5x + -1(4x + 2) Combine like terms: 2x + -3x = -1x -6 + -1x = 5x + -1(4x + 2) Reorder the terms: -6 + -1x = 5x + -1(2 + 4x) -6 + -1x = 5x + (2 * -1 + 4x * -1) -6 + -1x = 5x + (-2 + -4x) Reorder the terms: -6 + -1x = -2 + 5x + -4x Combine like terms: 5x + -4x = 1x -6 + -1x = -2 + 1x Solving -6 + -1x = -2 + 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. -6 + -1x + -1x = -2 + 1x + -1x Combine like terms: -1x + -1x = -2x -6 + -2x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + -2x = -2 + 0 -6 + -2x = -2 Add '6' to each side of the equation. -6 + 6 + -2x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -2 + 6 -2x = -2 + 6 Combine like terms: -2 + 6 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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