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Simplifying 4(x + -3) + 2x = 3x + 12 Reorder the terms: 4(-3 + x) + 2x = 3x + 12 (-3 * 4 + x * 4) + 2x = 3x + 12 (-12 + 4x) + 2x = 3x + 12 Combine like terms: 4x + 2x = 6x -12 + 6x = 3x + 12 Reorder the terms: -12 + 6x = 12 + 3x Solving -12 + 6x = 12 + 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. -12 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = 12 + 0 -12 + 3x = 12 Add '12' to each side of the equation. -12 + 12 + 3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 12 + 12 3x = 12 + 12 Combine like terms: 12 + 12 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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