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