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Simplifying 2(2x + -5) = 4(3x + 2) Reorder the terms: 2(-5 + 2x) = 4(3x + 2) (-5 * 2 + 2x * 2) = 4(3x + 2) (-10 + 4x) = 4(3x + 2) Reorder the terms: -10 + 4x = 4(2 + 3x) -10 + 4x = (2 * 4 + 3x * 4) -10 + 4x = (8 + 12x) Solving -10 + 4x = 8 + 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. -10 + 4x + -12x = 8 + 12x + -12x Combine like terms: 4x + -12x = -8x -10 + -8x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -8x = 8 + 0 -10 + -8x = 8 Add '10' to each side of the equation. -10 + 10 + -8x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 8 + 10 -8x = 8 + 10 Combine like terms: 8 + 10 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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