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Simplifying 2(4x + -3(x + 1)) = 4(x + 3) Reorder the terms: 2(4x + -3(1 + x)) = 4(x + 3) 2(4x + (1 * -3 + x * -3)) = 4(x + 3) 2(4x + (-3 + -3x)) = 4(x + 3) Reorder the terms: 2(-3 + 4x + -3x) = 4(x + 3) Combine like terms: 4x + -3x = 1x 2(-3 + 1x) = 4(x + 3) (-3 * 2 + 1x * 2) = 4(x + 3) (-6 + 2x) = 4(x + 3) Reorder the terms: -6 + 2x = 4(3 + x) -6 + 2x = (3 * 4 + x * 4) -6 + 2x = (12 + 4x) Solving -6 + 2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = 12 + 0 -6 + -2x = 12 Add '6' to each side of the equation. -6 + 6 + -2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 12 + 6 -2x = 12 + 6 Combine like terms: 12 + 6 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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