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Simplifying 3x + -1(10x + -16) = 9 + -1(12x + 28) Reorder the terms: 3x + -1(-16 + 10x) = 9 + -1(12x + 28) 3x + (-16 * -1 + 10x * -1) = 9 + -1(12x + 28) 3x + (16 + -10x) = 9 + -1(12x + 28) Reorder the terms: 16 + 3x + -10x = 9 + -1(12x + 28) Combine like terms: 3x + -10x = -7x 16 + -7x = 9 + -1(12x + 28) Reorder the terms: 16 + -7x = 9 + -1(28 + 12x) 16 + -7x = 9 + (28 * -1 + 12x * -1) 16 + -7x = 9 + (-28 + -12x) Combine like terms: 9 + -28 = -19 16 + -7x = -19 + -12x Solving 16 + -7x = -19 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 16 + -7x + 12x = -19 + -12x + 12x Combine like terms: -7x + 12x = 5x 16 + 5x = -19 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + 5x = -19 + 0 16 + 5x = -19 Add '-16' to each side of the equation. 16 + -16 + 5x = -19 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = -19 + -16 5x = -19 + -16 Combine like terms: -19 + -16 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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