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Simplifying 3x + -8 = 10 + -3(x + -4) Reorder the terms: -8 + 3x = 10 + -3(x + -4) Reorder the terms: -8 + 3x = 10 + -3(-4 + x) -8 + 3x = 10 + (-4 * -3 + x * -3) -8 + 3x = 10 + (12 + -3x) Combine like terms: 10 + 12 = 22 -8 + 3x = 22 + -3x Solving -8 + 3x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 3x + 3x = 22 + -3x + 3x Combine like terms: 3x + 3x = 6x -8 + 6x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 6x = 22 + 0 -8 + 6x = 22 Add '8' to each side of the equation. -8 + 8 + 6x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 22 + 8 6x = 22 + 8 Combine like terms: 22 + 8 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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