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Simplifying -1x + -1(8x + -6) = 6x + 21 Reorder the terms: -1x + -1(-6 + 8x) = 6x + 21 -1x + (-6 * -1 + 8x * -1) = 6x + 21 -1x + (6 + -8x) = 6x + 21 Reorder the terms: 6 + -1x + -8x = 6x + 21 Combine like terms: -1x + -8x = -9x 6 + -9x = 6x + 21 Reorder the terms: 6 + -9x = 21 + 6x Solving 6 + -9x = 21 + 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. 6 + -9x + -6x = 21 + 6x + -6x Combine like terms: -9x + -6x = -15x 6 + -15x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -15x = 21 + 0 6 + -15x = 21 Add '-6' to each side of the equation. 6 + -6 + -15x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = 21 + -6 -15x = 21 + -6 Combine like terms: 21 + -6 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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