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Simplifying 2(2x + -4 + -3) = 3(4x + -6) Reorder the terms: 2(-4 + -3 + 2x) = 3(4x + -6) Combine like terms: -4 + -3 = -7 2(-7 + 2x) = 3(4x + -6) (-7 * 2 + 2x * 2) = 3(4x + -6) (-14 + 4x) = 3(4x + -6) Reorder the terms: -14 + 4x = 3(-6 + 4x) -14 + 4x = (-6 * 3 + 4x * 3) -14 + 4x = (-18 + 12x) Solving -14 + 4x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 4x + -12x = -18 + 12x + -12x Combine like terms: 4x + -12x = -8x -14 + -8x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -8x = -18 + 0 -14 + -8x = -18 Add '14' to each side of the equation. -14 + 14 + -8x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -18 + 14 -8x = -18 + 14 Combine like terms: -18 + 14 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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