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Simplifying -6(x + -5) + -10 = -7x + 21 Reorder the terms: -6(-5 + x) + -10 = -7x + 21 (-5 * -6 + x * -6) + -10 = -7x + 21 (30 + -6x) + -10 = -7x + 21 Reorder the terms: 30 + -10 + -6x = -7x + 21 Combine like terms: 30 + -10 = 20 20 + -6x = -7x + 21 Reorder the terms: 20 + -6x = 21 + -7x Solving 20 + -6x = 21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + -6x + 7x = 21 + -7x + 7x Combine like terms: -6x + 7x = 1x 20 + 1x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 1x = 21 + 0 20 + 1x = 21 Add '-20' to each side of the equation. 20 + -20 + 1x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 21 + -20 1x = 21 + -20 Combine like terms: 21 + -20 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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