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Simplifying 16(2 + -5x) = -12(-3 + -5x) + -4(2x + 3) (2 * 16 + -5x * 16) = -12(-3 + -5x) + -4(2x + 3) (32 + -80x) = -12(-3 + -5x) + -4(2x + 3) 32 + -80x = (-3 * -12 + -5x * -12) + -4(2x + 3) 32 + -80x = (36 + 60x) + -4(2x + 3) Reorder the terms: 32 + -80x = 36 + 60x + -4(3 + 2x) 32 + -80x = 36 + 60x + (3 * -4 + 2x * -4) 32 + -80x = 36 + 60x + (-12 + -8x) Reorder the terms: 32 + -80x = 36 + -12 + 60x + -8x Combine like terms: 36 + -12 = 24 32 + -80x = 24 + 60x + -8x Combine like terms: 60x + -8x = 52x 32 + -80x = 24 + 52x Solving 32 + -80x = 24 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 32 + -80x + -52x = 24 + 52x + -52x Combine like terms: -80x + -52x = -132x 32 + -132x = 24 + 52x + -52x Combine like terms: 52x + -52x = 0 32 + -132x = 24 + 0 32 + -132x = 24 Add '-32' to each side of the equation. 32 + -32 + -132x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -132x = 24 + -32 -132x = 24 + -32 Combine like terms: 24 + -32 = -8 -132x = -8 Divide each side by '-132'. x = 0.06060606061 Simplifying x = 0.06060606061
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