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Simplifying 6 + -3(x + 8) = 3x + -1(-12) Reorder the terms: 6 + -3(8 + x) = 3x + -1(-12) 6 + (8 * -3 + x * -3) = 3x + -1(-12) 6 + (-24 + -3x) = 3x + -1(-12) Combine like terms: 6 + -24 = -18 -18 + -3x = 3x + -1(-12) Multiply -1 * -12 -18 + -3x = 3x + 12 Reorder the terms: -18 + -3x = 12 + 3x Solving -18 + -3x = 12 + 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. -18 + -3x + -3x = 12 + 3x + -3x Combine like terms: -3x + -3x = -6x -18 + -6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -6x = 12 + 0 -18 + -6x = 12 Add '18' to each side of the equation. -18 + 18 + -6x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 12 + 18 -6x = 12 + 18 Combine like terms: 12 + 18 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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