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Simplifying 10 + -6(8x + -2) = 12x + -1(3 + 4x) + -3 Reorder the terms: 10 + -6(-2 + 8x) = 12x + -1(3 + 4x) + -3 10 + (-2 * -6 + 8x * -6) = 12x + -1(3 + 4x) + -3 10 + (12 + -48x) = 12x + -1(3 + 4x) + -3 Combine like terms: 10 + 12 = 22 22 + -48x = 12x + -1(3 + 4x) + -3 22 + -48x = 12x + (3 * -1 + 4x * -1) + -3 22 + -48x = 12x + (-3 + -4x) + -3 Reorder the terms: 22 + -48x = -3 + -3 + 12x + -4x Combine like terms: -3 + -3 = -6 22 + -48x = -6 + 12x + -4x Combine like terms: 12x + -4x = 8x 22 + -48x = -6 + 8x Solving 22 + -48x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 22 + -48x + -8x = -6 + 8x + -8x Combine like terms: -48x + -8x = -56x 22 + -56x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -56x = -6 + 0 22 + -56x = -6 Add '-22' to each side of the equation. 22 + -22 + -56x = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -56x = -6 + -22 -56x = -6 + -22 Combine like terms: -6 + -22 = -28 -56x = -28 Divide each side by '-56'. x = 0.5 Simplifying x = 0.5
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