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Simplifying 2(4x + -30) + -8 = 4 + 2x Reorder the terms: 2(-30 + 4x) + -8 = 4 + 2x (-30 * 2 + 4x * 2) + -8 = 4 + 2x (-60 + 8x) + -8 = 4 + 2x Reorder the terms: -60 + -8 + 8x = 4 + 2x Combine like terms: -60 + -8 = -68 -68 + 8x = 4 + 2x Solving -68 + 8x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -68 + 8x + -2x = 4 + 2x + -2x Combine like terms: 8x + -2x = 6x -68 + 6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -68 + 6x = 4 + 0 -68 + 6x = 4 Add '68' to each side of the equation. -68 + 68 + 6x = 4 + 68 Combine like terms: -68 + 68 = 0 0 + 6x = 4 + 68 6x = 4 + 68 Combine like terms: 4 + 68 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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