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Simplifying 12 + -3(2x + 5) = 1 + 4(x + 4) Reorder the terms: 12 + -3(5 + 2x) = 1 + 4(x + 4) 12 + (5 * -3 + 2x * -3) = 1 + 4(x + 4) 12 + (-15 + -6x) = 1 + 4(x + 4) Combine like terms: 12 + -15 = -3 -3 + -6x = 1 + 4(x + 4) Reorder the terms: -3 + -6x = 1 + 4(4 + x) -3 + -6x = 1 + (4 * 4 + x * 4) -3 + -6x = 1 + (16 + 4x) Combine like terms: 1 + 16 = 17 -3 + -6x = 17 + 4x Solving -3 + -6x = 17 + 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. -3 + -6x + -4x = 17 + 4x + -4x Combine like terms: -6x + -4x = -10x -3 + -10x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -10x = 17 + 0 -3 + -10x = 17 Add '3' to each side of the equation. -3 + 3 + -10x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 17 + 3 -10x = 17 + 3 Combine like terms: 17 + 3 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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