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Simplifying 12(x + -4) + -2 = 32x + -290 Reorder the terms: 12(-4 + x) + -2 = 32x + -290 (-4 * 12 + x * 12) + -2 = 32x + -290 (-48 + 12x) + -2 = 32x + -290 Reorder the terms: -48 + -2 + 12x = 32x + -290 Combine like terms: -48 + -2 = -50 -50 + 12x = 32x + -290 Reorder the terms: -50 + 12x = -290 + 32x Solving -50 + 12x = -290 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -50 + 12x + -32x = -290 + 32x + -32x Combine like terms: 12x + -32x = -20x -50 + -20x = -290 + 32x + -32x Combine like terms: 32x + -32x = 0 -50 + -20x = -290 + 0 -50 + -20x = -290 Add '50' to each side of the equation. -50 + 50 + -20x = -290 + 50 Combine like terms: -50 + 50 = 0 0 + -20x = -290 + 50 -20x = -290 + 50 Combine like terms: -290 + 50 = -240 -20x = -240 Divide each side by '-20'. x = 12 Simplifying x = 12
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