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Simplifying 6 + -6x = x + 5(-1x + -2) Reorder the terms: 6 + -6x = x + 5(-2 + -1x) 6 + -6x = x + (-2 * 5 + -1x * 5) 6 + -6x = x + (-10 + -5x) Reorder the terms: 6 + -6x = -10 + x + -5x Combine like terms: x + -5x = -4x 6 + -6x = -10 + -4x Solving 6 + -6x = -10 + -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. 6 + -6x + 4x = -10 + -4x + 4x Combine like terms: -6x + 4x = -2x 6 + -2x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + -2x = -10 + 0 6 + -2x = -10 Add '-6' to each side of the equation. 6 + -6 + -2x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -10 + -6 -2x = -10 + -6 Combine like terms: -10 + -6 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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