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Simplifying 3 + -3(x + -6) = 5x + 12 Reorder the terms: 3 + -3(-6 + x) = 5x + 12 3 + (-6 * -3 + x * -3) = 5x + 12 3 + (18 + -3x) = 5x + 12 Combine like terms: 3 + 18 = 21 21 + -3x = 5x + 12 Reorder the terms: 21 + -3x = 12 + 5x Solving 21 + -3x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + -3x + -5x = 12 + 5x + -5x Combine like terms: -3x + -5x = -8x 21 + -8x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -8x = 12 + 0 21 + -8x = 12 Add '-21' to each side of the equation. 21 + -21 + -8x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 12 + -21 -8x = 12 + -21 Combine like terms: 12 + -21 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125
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