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Simplifying 3x + -4 = 2(2x + -5) Reorder the terms: -4 + 3x = 2(2x + -5) Reorder the terms: -4 + 3x = 2(-5 + 2x) -4 + 3x = (-5 * 2 + 2x * 2) -4 + 3x = (-10 + 4x) Solving -4 + 3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -10 + 0 -4 + -1x = -10 Add '4' to each side of the equation. -4 + 4 + -1x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -10 + 4 -1x = -10 + 4 Combine like terms: -10 + 4 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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