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Simplifying -6x + 8 + -1(-2x + -7) = (-2x) + 7 Reorder the terms: -6x + 8 + -1(-7 + -2x) = (-2x) + 7 -6x + 8 + (-7 * -1 + -2x * -1) = (-2x) + 7 -6x + 8 + (7 + 2x) = (-2x) + 7 Reorder the terms: 8 + 7 + -6x + 2x = (-2x) + 7 Combine like terms: 8 + 7 = 15 15 + -6x + 2x = (-2x) + 7 Combine like terms: -6x + 2x = -4x 15 + -4x = (-2x) + 7 Reorder the terms: 15 + -4x = 7 + (-2x) Solving 15 + -4x = 7 + (-2x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(2x)' to each side of the equation. 15 + -4x + (2x) = 7 + (-2x) + (2x) Combine like terms: -4x + (2x) = -2x 15 + -2x = 7 + (-2x) + (2x) Combine like terms: (-2x) + (2x) = 0 15 + -2x = 7 + 0 15 + -2x = 7 Add '-15' to each side of the equation. 15 + -15 + -2x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 7 + -15 -2x = 7 + -15 Combine like terms: 7 + -15 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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