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Simplifying 4x + -36 + -24 = 2 + -1(6 + 4x) Reorder the terms: -36 + -24 + 4x = 2 + -1(6 + 4x) Combine like terms: -36 + -24 = -60 -60 + 4x = 2 + -1(6 + 4x) -60 + 4x = 2 + (6 * -1 + 4x * -1) -60 + 4x = 2 + (-6 + -4x) Combine like terms: 2 + -6 = -4 -60 + 4x = -4 + -4x Solving -60 + 4x = -4 + -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. -60 + 4x + 4x = -4 + -4x + 4x Combine like terms: 4x + 4x = 8x -60 + 8x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -60 + 8x = -4 + 0 -60 + 8x = -4 Add '60' to each side of the equation. -60 + 60 + 8x = -4 + 60 Combine like terms: -60 + 60 = 0 0 + 8x = -4 + 60 8x = -4 + 60 Combine like terms: -4 + 60 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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