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Simplifying 2(x + 4) + 3(2x + -8) + -10 = 96 + 2x Reorder the terms: 2(4 + x) + 3(2x + -8) + -10 = 96 + 2x (4 * 2 + x * 2) + 3(2x + -8) + -10 = 96 + 2x (8 + 2x) + 3(2x + -8) + -10 = 96 + 2x Reorder the terms: 8 + 2x + 3(-8 + 2x) + -10 = 96 + 2x 8 + 2x + (-8 * 3 + 2x * 3) + -10 = 96 + 2x 8 + 2x + (-24 + 6x) + -10 = 96 + 2x Reorder the terms: 8 + -24 + -10 + 2x + 6x = 96 + 2x Combine like terms: 8 + -24 = -16 -16 + -10 + 2x + 6x = 96 + 2x Combine like terms: -16 + -10 = -26 -26 + 2x + 6x = 96 + 2x Combine like terms: 2x + 6x = 8x -26 + 8x = 96 + 2x Solving -26 + 8x = 96 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -26 + 8x + -2x = 96 + 2x + -2x Combine like terms: 8x + -2x = 6x -26 + 6x = 96 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 6x = 96 + 0 -26 + 6x = 96 Add '26' to each side of the equation. -26 + 26 + 6x = 96 + 26 Combine like terms: -26 + 26 = 0 0 + 6x = 96 + 26 6x = 96 + 26 Combine like terms: 96 + 26 = 122 6x = 122 Divide each side by '6'. x = 20.33333333 Simplifying x = 20.33333333
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