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Simplifying 2x + 6 = 4(8x + -6) Reorder the terms: 6 + 2x = 4(8x + -6) Reorder the terms: 6 + 2x = 4(-6 + 8x) 6 + 2x = (-6 * 4 + 8x * 4) 6 + 2x = (-24 + 32x) Solving 6 + 2x = -24 + 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. 6 + 2x + -32x = -24 + 32x + -32x Combine like terms: 2x + -32x = -30x 6 + -30x = -24 + 32x + -32x Combine like terms: 32x + -32x = 0 6 + -30x = -24 + 0 6 + -30x = -24 Add '-6' to each side of the equation. 6 + -6 + -30x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -30x = -24 + -6 -30x = -24 + -6 Combine like terms: -24 + -6 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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