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Simplifying 2(2x + -3) = 4(x + -2) + -3x Reorder the terms: 2(-3 + 2x) = 4(x + -2) + -3x (-3 * 2 + 2x * 2) = 4(x + -2) + -3x (-6 + 4x) = 4(x + -2) + -3x Reorder the terms: -6 + 4x = 4(-2 + x) + -3x -6 + 4x = (-2 * 4 + x * 4) + -3x -6 + 4x = (-8 + 4x) + -3x Combine like terms: 4x + -3x = 1x -6 + 4x = -8 + 1x Solving -6 + 4x = -8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 4x + -1x = -8 + 1x + -1x Combine like terms: 4x + -1x = 3x -6 + 3x = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 3x = -8 + 0 -6 + 3x = -8 Add '6' to each side of the equation. -6 + 6 + 3x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -8 + 6 3x = -8 + 6 Combine like terms: -8 + 6 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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