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