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Simplifying 8(4x + -6) = -6x + 30 + 12x Reorder the terms: 8(-6 + 4x) = -6x + 30 + 12x (-6 * 8 + 4x * 8) = -6x + 30 + 12x (-48 + 32x) = -6x + 30 + 12x Reorder the terms: -48 + 32x = 30 + -6x + 12x Combine like terms: -6x + 12x = 6x -48 + 32x = 30 + 6x Solving -48 + 32x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -48 + 32x + -6x = 30 + 6x + -6x Combine like terms: 32x + -6x = 26x -48 + 26x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 26x = 30 + 0 -48 + 26x = 30 Add '48' to each side of the equation. -48 + 48 + 26x = 30 + 48 Combine like terms: -48 + 48 = 0 0 + 26x = 30 + 48 26x = 30 + 48 Combine like terms: 30 + 48 = 78 26x = 78 Divide each side by '26'. x = 3 Simplifying x = 3
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