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Simplifying 10 + -4(2x + 3) = 4 + -6(1 + -2x) Reorder the terms: 10 + -4(3 + 2x) = 4 + -6(1 + -2x) 10 + (3 * -4 + 2x * -4) = 4 + -6(1 + -2x) 10 + (-12 + -8x) = 4 + -6(1 + -2x) Combine like terms: 10 + -12 = -2 -2 + -8x = 4 + -6(1 + -2x) -2 + -8x = 4 + (1 * -6 + -2x * -6) -2 + -8x = 4 + (-6 + 12x) Combine like terms: 4 + -6 = -2 -2 + -8x = -2 + 12x Add '2' to each side of the equation. -2 + 2 + -8x = -2 + 2 + 12x Combine like terms: -2 + 2 = 0 0 + -8x = -2 + 2 + 12x -8x = -2 + 2 + 12x Combine like terms: -2 + 2 = 0 -8x = 0 + 12x -8x = 12x Solving -8x = 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. -8x + -12x = 12x + -12x Combine like terms: -8x + -12x = -20x -20x = 12x + -12x Combine like terms: 12x + -12x = 0 -20x = 0 Divide each side by '-20'. x = 0.0 Simplifying x = 0.0
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