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Simplifying (3x + 12) + -1(3x + -18) = -10x + -16 Reorder the terms: (12 + 3x) + -1(3x + -18) = -10x + -16 Remove parenthesis around (12 + 3x) 12 + 3x + -1(3x + -18) = -10x + -16 Reorder the terms: 12 + 3x + -1(-18 + 3x) = -10x + -16 12 + 3x + (-18 * -1 + 3x * -1) = -10x + -16 12 + 3x + (18 + -3x) = -10x + -16 Reorder the terms: 12 + 18 + 3x + -3x = -10x + -16 Combine like terms: 12 + 18 = 30 30 + 3x + -3x = -10x + -16 Combine like terms: 3x + -3x = 0 30 + 0 = -10x + -16 30 = -10x + -16 Reorder the terms: 30 = -16 + -10x Solving 30 = -16 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 30 + 10x = -16 + -10x + 10x Combine like terms: -10x + 10x = 0 30 + 10x = -16 + 0 30 + 10x = -16 Add '-30' to each side of the equation. 30 + -30 + 10x = -16 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = -16 + -30 10x = -16 + -30 Combine like terms: -16 + -30 = -46 10x = -46 Divide each side by '10'. x = -4.6 Simplifying x = -4.6
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