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