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Simplifying X + -2(x + 3) + 4(x + -3) = 12 Reorder the terms: X + -2(3 + x) + 4(x + -3) = 12 X + (3 * -2 + x * -2) + 4(x + -3) = 12 X + (-6 + -2x) + 4(x + -3) = 12 Reorder the terms: X + -6 + -2x + 4(-3 + x) = 12 X + -6 + -2x + (-3 * 4 + x * 4) = 12 X + -6 + -2x + (-12 + 4x) = 12 Reorder the terms: -6 + -12 + X + -2x + 4x = 12 Combine like terms: -6 + -12 = -18 -18 + X + -2x + 4x = 12 Combine like terms: -2x + 4x = 2x -18 + X + 2x = 12 Solving -18 + X + 2x = 12 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + X + 18 + 2x = 12 + 18 Reorder the terms: -18 + 18 + X + 2x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + X + 2x = 12 + 18 X + 2x = 12 + 18 Combine like terms: 12 + 18 = 30 X + 2x = 30 Add '-2x' to each side of the equation. X + 2x + -2x = 30 + -2x Combine like terms: 2x + -2x = 0 X + 0 = 30 + -2x X = 30 + -2x Simplifying X = 30 + -2x
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