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Simplifying 4(x + -3) + 6 = 2(x + 9) Reorder the terms: 4(-3 + x) + 6 = 2(x + 9) (-3 * 4 + x * 4) + 6 = 2(x + 9) (-12 + 4x) + 6 = 2(x + 9) Reorder the terms: -12 + 6 + 4x = 2(x + 9) Combine like terms: -12 + 6 = -6 -6 + 4x = 2(x + 9) Reorder the terms: -6 + 4x = 2(9 + x) -6 + 4x = (9 * 2 + x * 2) -6 + 4x = (18 + 2x) Solving -6 + 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. -6 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 18 + 0 -6 + 2x = 18 Add '6' to each side of the equation. -6 + 6 + 2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 18 + 6 2x = 18 + 6 Combine like terms: 18 + 6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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