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Simplifying 2(4x + -1) = 6(6x + -5) Reorder the terms: 2(-1 + 4x) = 6(6x + -5) (-1 * 2 + 4x * 2) = 6(6x + -5) (-2 + 8x) = 6(6x + -5) Reorder the terms: -2 + 8x = 6(-5 + 6x) -2 + 8x = (-5 * 6 + 6x * 6) -2 + 8x = (-30 + 36x) Solving -2 + 8x = -30 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -2 + 8x + -36x = -30 + 36x + -36x Combine like terms: 8x + -36x = -28x -2 + -28x = -30 + 36x + -36x Combine like terms: 36x + -36x = 0 -2 + -28x = -30 + 0 -2 + -28x = -30 Add '2' to each side of the equation. -2 + 2 + -28x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -28x = -30 + 2 -28x = -30 + 2 Combine like terms: -30 + 2 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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