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Simplifying 4x + -2 = 3(x + -3) + 12 Reorder the terms: -2 + 4x = 3(x + -3) + 12 Reorder the terms: -2 + 4x = 3(-3 + x) + 12 -2 + 4x = (-3 * 3 + x * 3) + 12 -2 + 4x = (-9 + 3x) + 12 Reorder the terms: -2 + 4x = -9 + 12 + 3x Combine like terms: -9 + 12 = 3 -2 + 4x = 3 + 3x Solving -2 + 4x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = 3 + 0 -2 + 1x = 3 Add '2' to each side of the equation. -2 + 2 + 1x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 3 + 2 1x = 3 + 2 Combine like terms: 3 + 2 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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