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Simplifying -6x + 8 = 7 + -1(4x + 9) Reorder the terms: 8 + -6x = 7 + -1(4x + 9) Reorder the terms: 8 + -6x = 7 + -1(9 + 4x) 8 + -6x = 7 + (9 * -1 + 4x * -1) 8 + -6x = 7 + (-9 + -4x) Combine like terms: 7 + -9 = -2 8 + -6x = -2 + -4x Solving 8 + -6x = -2 + -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. 8 + -6x + 4x = -2 + -4x + 4x Combine like terms: -6x + 4x = -2x 8 + -2x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -2x = -2 + 0 8 + -2x = -2 Add '-8' to each side of the equation. 8 + -8 + -2x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -2 + -8 -2x = -2 + -8 Combine like terms: -2 + -8 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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