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Simplifying 2(2x + -3) = 6(x + -4) Reorder the terms: 2(-3 + 2x) = 6(x + -4) (-3 * 2 + 2x * 2) = 6(x + -4) (-6 + 4x) = 6(x + -4) Reorder the terms: -6 + 4x = 6(-4 + x) -6 + 4x = (-4 * 6 + x * 6) -6 + 4x = (-24 + 6x) Solving -6 + 4x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 4x + -6x = -24 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = -24 + 0 -6 + -2x = -24 Add '6' to each side of the equation. -6 + 6 + -2x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -24 + 6 -2x = -24 + 6 Combine like terms: -24 + 6 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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