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Simplifying 4(x + -3) = (x + 9) * 2 Reorder the terms: 4(-3 + x) = (x + 9) * 2 (-3 * 4 + x * 4) = (x + 9) * 2 (-12 + 4x) = (x + 9) * 2 Reorder the terms: -12 + 4x = (9 + x) * 2 Reorder the terms for easier multiplication: -12 + 4x = 2(9 + x) -12 + 4x = (9 * 2 + x * 2) -12 + 4x = (18 + 2x) Solving -12 + 4x = 18 + 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 = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 18 + 0 -12 + 2x = 18 Add '12' to each side of the equation. -12 + 12 + 2x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 18 + 12 2x = 18 + 12 Combine like terms: 18 + 12 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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