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Simplifying -6x + 52 + -8(x + -1) = 4x + -1(7x + -5) + -2x + 1 Reorder the terms: -6x + 52 + -8(-1 + x) = 4x + -1(7x + -5) + -2x + 1 -6x + 52 + (-1 * -8 + x * -8) = 4x + -1(7x + -5) + -2x + 1 -6x + 52 + (8 + -8x) = 4x + -1(7x + -5) + -2x + 1 Reorder the terms: 52 + 8 + -6x + -8x = 4x + -1(7x + -5) + -2x + 1 Combine like terms: 52 + 8 = 60 60 + -6x + -8x = 4x + -1(7x + -5) + -2x + 1 Combine like terms: -6x + -8x = -14x 60 + -14x = 4x + -1(7x + -5) + -2x + 1 Reorder the terms: 60 + -14x = 4x + -1(-5 + 7x) + -2x + 1 60 + -14x = 4x + (-5 * -1 + 7x * -1) + -2x + 1 60 + -14x = 4x + (5 + -7x) + -2x + 1 Reorder the terms: 60 + -14x = 5 + 1 + 4x + -7x + -2x Combine like terms: 5 + 1 = 6 60 + -14x = 6 + 4x + -7x + -2x Combine like terms: 4x + -7x = -3x 60 + -14x = 6 + -3x + -2x Combine like terms: -3x + -2x = -5x 60 + -14x = 6 + -5x Solving 60 + -14x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 60 + -14x + 5x = 6 + -5x + 5x Combine like terms: -14x + 5x = -9x 60 + -9x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 60 + -9x = 6 + 0 60 + -9x = 6 Add '-60' to each side of the equation. 60 + -60 + -9x = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -9x = 6 + -60 -9x = 6 + -60 Combine like terms: 6 + -60 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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