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Simplifying 2(5x + -1) + -4 = -2x + 3(2x + -6) Reorder the terms: 2(-1 + 5x) + -4 = -2x + 3(2x + -6) (-1 * 2 + 5x * 2) + -4 = -2x + 3(2x + -6) (-2 + 10x) + -4 = -2x + 3(2x + -6) Reorder the terms: -2 + -4 + 10x = -2x + 3(2x + -6) Combine like terms: -2 + -4 = -6 -6 + 10x = -2x + 3(2x + -6) Reorder the terms: -6 + 10x = -2x + 3(-6 + 2x) -6 + 10x = -2x + (-6 * 3 + 2x * 3) -6 + 10x = -2x + (-18 + 6x) Reorder the terms: -6 + 10x = -18 + -2x + 6x Combine like terms: -2x + 6x = 4x -6 + 10x = -18 + 4x Solving -6 + 10x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 10x + -4x = -18 + 4x + -4x Combine like terms: 10x + -4x = 6x -6 + 6x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 6x = -18 + 0 -6 + 6x = -18 Add '6' to each side of the equation. -6 + 6 + 6x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -18 + 6 6x = -18 + 6 Combine like terms: -18 + 6 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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