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