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Simplifying 2(2x + -5) = 3(4x + -10) + 16 Reorder the terms: 2(-5 + 2x) = 3(4x + -10) + 16 (-5 * 2 + 2x * 2) = 3(4x + -10) + 16 (-10 + 4x) = 3(4x + -10) + 16 Reorder the terms: -10 + 4x = 3(-10 + 4x) + 16 -10 + 4x = (-10 * 3 + 4x * 3) + 16 -10 + 4x = (-30 + 12x) + 16 Reorder the terms: -10 + 4x = -30 + 16 + 12x Combine like terms: -30 + 16 = -14 -10 + 4x = -14 + 12x Solving -10 + 4x = -14 + 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 = -14 + 12x + -12x Combine like terms: 4x + -12x = -8x -10 + -8x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -8x = -14 + 0 -10 + -8x = -14 Add '10' to each side of the equation. -10 + 10 + -8x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -14 + 10 -8x = -14 + 10 Combine like terms: -14 + 10 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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