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Simplifying 270 = 8(-4x + 6) + -2 Reorder the terms: 270 = 8(6 + -4x) + -2 270 = (6 * 8 + -4x * 8) + -2 270 = (48 + -32x) + -2 Reorder the terms: 270 = 48 + -2 + -32x Combine like terms: 48 + -2 = 46 270 = 46 + -32x Solving 270 = 46 + -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. 270 + 32x = 46 + -32x + 32x Combine like terms: -32x + 32x = 0 270 + 32x = 46 + 0 270 + 32x = 46 Add '-270' to each side of the equation. 270 + -270 + 32x = 46 + -270 Combine like terms: 270 + -270 = 0 0 + 32x = 46 + -270 32x = 46 + -270 Combine like terms: 46 + -270 = -224 32x = -224 Divide each side by '32'. x = -7 Simplifying x = -7
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