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Simplifying 12 + -3(2x + 1) = 7x + -3(x + 7) Reorder the terms: 12 + -3(1 + 2x) = 7x + -3(x + 7) 12 + (1 * -3 + 2x * -3) = 7x + -3(x + 7) 12 + (-3 + -6x) = 7x + -3(x + 7) Combine like terms: 12 + -3 = 9 9 + -6x = 7x + -3(x + 7) Reorder the terms: 9 + -6x = 7x + -3(7 + x) 9 + -6x = 7x + (7 * -3 + x * -3) 9 + -6x = 7x + (-21 + -3x) Reorder the terms: 9 + -6x = -21 + 7x + -3x Combine like terms: 7x + -3x = 4x 9 + -6x = -21 + 4x Solving 9 + -6x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + -6x + -4x = -21 + 4x + -4x Combine like terms: -6x + -4x = -10x 9 + -10x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -10x = -21 + 0 9 + -10x = -21 Add '-9' to each side of the equation. 9 + -9 + -10x = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = -21 + -9 -10x = -21 + -9 Combine like terms: -21 + -9 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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