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Simplifying x + -5 + x + -1 = 6(x + -6) + -6(5 + 4x) Reorder the terms: -5 + -1 + x + x = 6(x + -6) + -6(5 + 4x) Combine like terms: -5 + -1 = -6 -6 + x + x = 6(x + -6) + -6(5 + 4x) Combine like terms: x + x = 2x -6 + 2x = 6(x + -6) + -6(5 + 4x) Reorder the terms: -6 + 2x = 6(-6 + x) + -6(5 + 4x) -6 + 2x = (-6 * 6 + x * 6) + -6(5 + 4x) -6 + 2x = (-36 + 6x) + -6(5 + 4x) -6 + 2x = -36 + 6x + (5 * -6 + 4x * -6) -6 + 2x = -36 + 6x + (-30 + -24x) Reorder the terms: -6 + 2x = -36 + -30 + 6x + -24x Combine like terms: -36 + -30 = -66 -6 + 2x = -66 + 6x + -24x Combine like terms: 6x + -24x = -18x -6 + 2x = -66 + -18x Solving -6 + 2x = -66 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -6 + 2x + 18x = -66 + -18x + 18x Combine like terms: 2x + 18x = 20x -6 + 20x = -66 + -18x + 18x Combine like terms: -18x + 18x = 0 -6 + 20x = -66 + 0 -6 + 20x = -66 Add '6' to each side of the equation. -6 + 6 + 20x = -66 + 6 Combine like terms: -6 + 6 = 0 0 + 20x = -66 + 6 20x = -66 + 6 Combine like terms: -66 + 6 = -60 20x = -60 Divide each side by '20'. x = -3 Simplifying x = -3
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