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Simplifying 4x + -2(6x + -5) = 3x + 12(2x + 16) Reorder the terms: 4x + -2(-5 + 6x) = 3x + 12(2x + 16) 4x + (-5 * -2 + 6x * -2) = 3x + 12(2x + 16) 4x + (10 + -12x) = 3x + 12(2x + 16) Reorder the terms: 10 + 4x + -12x = 3x + 12(2x + 16) Combine like terms: 4x + -12x = -8x 10 + -8x = 3x + 12(2x + 16) Reorder the terms: 10 + -8x = 3x + 12(16 + 2x) 10 + -8x = 3x + (16 * 12 + 2x * 12) 10 + -8x = 3x + (192 + 24x) Reorder the terms: 10 + -8x = 192 + 3x + 24x Combine like terms: 3x + 24x = 27x 10 + -8x = 192 + 27x Solving 10 + -8x = 192 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 10 + -8x + -27x = 192 + 27x + -27x Combine like terms: -8x + -27x = -35x 10 + -35x = 192 + 27x + -27x Combine like terms: 27x + -27x = 0 10 + -35x = 192 + 0 10 + -35x = 192 Add '-10' to each side of the equation. 10 + -10 + -35x = 192 + -10 Combine like terms: 10 + -10 = 0 0 + -35x = 192 + -10 -35x = 192 + -10 Combine like terms: 192 + -10 = 182 -35x = 182 Divide each side by '-35'. x = -5.2 Simplifying x = -5.2
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