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Simplifying 2(x + -3) + -4x = 3(2x + -3) Reorder the terms: 2(-3 + x) + -4x = 3(2x + -3) (-3 * 2 + x * 2) + -4x = 3(2x + -3) (-6 + 2x) + -4x = 3(2x + -3) Combine like terms: 2x + -4x = -2x -6 + -2x = 3(2x + -3) Reorder the terms: -6 + -2x = 3(-3 + 2x) -6 + -2x = (-3 * 3 + 2x * 3) -6 + -2x = (-9 + 6x) Solving -6 + -2x = -9 + 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 + -2x + -6x = -9 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = -9 + 0 -6 + -8x = -9 Add '6' to each side of the equation. -6 + 6 + -8x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -9 + 6 -8x = -9 + 6 Combine like terms: -9 + 6 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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