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Simplifying 3x + -2(2x + 3) = 16 + 2(x + -5) Reorder the terms: 3x + -2(3 + 2x) = 16 + 2(x + -5) 3x + (3 * -2 + 2x * -2) = 16 + 2(x + -5) 3x + (-6 + -4x) = 16 + 2(x + -5) Reorder the terms: -6 + 3x + -4x = 16 + 2(x + -5) Combine like terms: 3x + -4x = -1x -6 + -1x = 16 + 2(x + -5) Reorder the terms: -6 + -1x = 16 + 2(-5 + x) -6 + -1x = 16 + (-5 * 2 + x * 2) -6 + -1x = 16 + (-10 + 2x) Combine like terms: 16 + -10 = 6 -6 + -1x = 6 + 2x Solving -6 + -1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x -6 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -3x = 6 + 0 -6 + -3x = 6 Add '6' to each side of the equation. -6 + 6 + -3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 6 + 6 -3x = 6 + 6 Combine like terms: 6 + 6 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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