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Simplifying 10 + 2(3 + -4x) = -2(3x + -6) + 8 10 + (3 * 2 + -4x * 2) = -2(3x + -6) + 8 10 + (6 + -8x) = -2(3x + -6) + 8 Combine like terms: 10 + 6 = 16 16 + -8x = -2(3x + -6) + 8 Reorder the terms: 16 + -8x = -2(-6 + 3x) + 8 16 + -8x = (-6 * -2 + 3x * -2) + 8 16 + -8x = (12 + -6x) + 8 Reorder the terms: 16 + -8x = 12 + 8 + -6x Combine like terms: 12 + 8 = 20 16 + -8x = 20 + -6x Solving 16 + -8x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 16 + -8x + 6x = 20 + -6x + 6x Combine like terms: -8x + 6x = -2x 16 + -2x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + -2x = 20 + 0 16 + -2x = 20 Add '-16' to each side of the equation. 16 + -16 + -2x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 20 + -16 -2x = 20 + -16 Combine like terms: 20 + -16 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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