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Simplifying 3x + 3(x + -8) = 6x + -2(x + -10) Reorder the terms: 3x + 3(-8 + x) = 6x + -2(x + -10) 3x + (-8 * 3 + x * 3) = 6x + -2(x + -10) 3x + (-24 + 3x) = 6x + -2(x + -10) Reorder the terms: -24 + 3x + 3x = 6x + -2(x + -10) Combine like terms: 3x + 3x = 6x -24 + 6x = 6x + -2(x + -10) Reorder the terms: -24 + 6x = 6x + -2(-10 + x) -24 + 6x = 6x + (-10 * -2 + x * -2) -24 + 6x = 6x + (20 + -2x) Reorder the terms: -24 + 6x = 20 + 6x + -2x Combine like terms: 6x + -2x = 4x -24 + 6x = 20 + 4x Solving -24 + 6x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x -24 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 2x = 20 + 0 -24 + 2x = 20 Add '24' to each side of the equation. -24 + 24 + 2x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 20 + 24 2x = 20 + 24 Combine like terms: 20 + 24 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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