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Simplifying 3x + -8 = 3 + -1(x + -9) Reorder the terms: -8 + 3x = 3 + -1(x + -9) Reorder the terms: -8 + 3x = 3 + -1(-9 + x) -8 + 3x = 3 + (-9 * -1 + x * -1) -8 + 3x = 3 + (9 + -1x) Combine like terms: 3 + 9 = 12 -8 + 3x = 12 + -1x Solving -8 + 3x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 3x + x = 12 + -1x + x Combine like terms: 3x + x = 4x -8 + 4x = 12 + -1x + x Combine like terms: -1x + x = 0 -8 + 4x = 12 + 0 -8 + 4x = 12 Add '8' to each side of the equation. -8 + 8 + 4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 12 + 8 4x = 12 + 8 Combine like terms: 12 + 8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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