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Simplifying 10 + -6(8x + -2) = 9x + -1(3 + 4x) Reorder the terms: 10 + -6(-2 + 8x) = 9x + -1(3 + 4x) 10 + (-2 * -6 + 8x * -6) = 9x + -1(3 + 4x) 10 + (12 + -48x) = 9x + -1(3 + 4x) Combine like terms: 10 + 12 = 22 22 + -48x = 9x + -1(3 + 4x) 22 + -48x = 9x + (3 * -1 + 4x * -1) 22 + -48x = 9x + (-3 + -4x) Reorder the terms: 22 + -48x = -3 + 9x + -4x Combine like terms: 9x + -4x = 5x 22 + -48x = -3 + 5x Solving 22 + -48x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + -48x + -5x = -3 + 5x + -5x Combine like terms: -48x + -5x = -53x 22 + -53x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -53x = -3 + 0 22 + -53x = -3 Add '-22' to each side of the equation. 22 + -22 + -53x = -3 + -22 Combine like terms: 22 + -22 = 0 0 + -53x = -3 + -22 -53x = -3 + -22 Combine like terms: -3 + -22 = -25 -53x = -25 Divide each side by '-53'. x = 0.4716981132 Simplifying x = 0.4716981132
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