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Simplifying 4(x + -3) = 2x + 6 Reorder the terms: 4(-3 + x) = 2x + 6 (-3 * 4 + x * 4) = 2x + 6 (-12 + 4x) = 2x + 6 Reorder the terms: -12 + 4x = 6 + 2x Solving -12 + 4x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 6 + 0 -12 + 2x = 6 Add '12' to each side of the equation. -12 + 12 + 2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 6 + 12 2x = 6 + 12 Combine like terms: 6 + 12 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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