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Simplifying 189(x + -2) = 4(x + 1) + -12 Reorder the terms: 189(-2 + x) = 4(x + 1) + -12 (-2 * 189 + x * 189) = 4(x + 1) + -12 (-378 + 189x) = 4(x + 1) + -12 Reorder the terms: -378 + 189x = 4(1 + x) + -12 -378 + 189x = (1 * 4 + x * 4) + -12 -378 + 189x = (4 + 4x) + -12 Reorder the terms: -378 + 189x = 4 + -12 + 4x Combine like terms: 4 + -12 = -8 -378 + 189x = -8 + 4x Solving -378 + 189x = -8 + 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. -378 + 189x + -4x = -8 + 4x + -4x Combine like terms: 189x + -4x = 185x -378 + 185x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -378 + 185x = -8 + 0 -378 + 185x = -8 Add '378' to each side of the equation. -378 + 378 + 185x = -8 + 378 Combine like terms: -378 + 378 = 0 0 + 185x = -8 + 378 185x = -8 + 378 Combine like terms: -8 + 378 = 370 185x = 370 Divide each side by '185'. x = 2 Simplifying x = 2
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