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Simplifying 4x + -6 = 3x + -2(x + -3) Reorder the terms: -6 + 4x = 3x + -2(x + -3) Reorder the terms: -6 + 4x = 3x + -2(-3 + x) -6 + 4x = 3x + (-3 * -2 + x * -2) -6 + 4x = 3x + (6 + -2x) Reorder the terms: -6 + 4x = 6 + 3x + -2x Combine like terms: 3x + -2x = 1x -6 + 4x = 6 + 1x Solving -6 + 4x = 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. -6 + 4x + -1x = 6 + 1x + -1x Combine like terms: 4x + -1x = 3x -6 + 3x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 3x = 6 + 0 -6 + 3x = 6 Add '6' to each side of the equation. -6 + 6 + 3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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