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Simplifying 2(x + -1) + 6x = 4(6x + -1) + 2 Reorder the terms: 2(-1 + x) + 6x = 4(6x + -1) + 2 (-1 * 2 + x * 2) + 6x = 4(6x + -1) + 2 (-2 + 2x) + 6x = 4(6x + -1) + 2 Combine like terms: 2x + 6x = 8x -2 + 8x = 4(6x + -1) + 2 Reorder the terms: -2 + 8x = 4(-1 + 6x) + 2 -2 + 8x = (-1 * 4 + 6x * 4) + 2 -2 + 8x = (-4 + 24x) + 2 Reorder the terms: -2 + 8x = -4 + 2 + 24x Combine like terms: -4 + 2 = -2 -2 + 8x = -2 + 24x Add '2' to each side of the equation. -2 + 2 + 8x = -2 + 2 + 24x Combine like terms: -2 + 2 = 0 0 + 8x = -2 + 2 + 24x 8x = -2 + 2 + 24x Combine like terms: -2 + 2 = 0 8x = 0 + 24x 8x = 24x Solving 8x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 8x + -24x = 24x + -24x Combine like terms: 8x + -24x = -16x -16x = 24x + -24x Combine like terms: 24x + -24x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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