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Simplifying 10 = 5x + -6(x + 7) Reorder the terms: 10 = 5x + -6(7 + x) 10 = 5x + (7 * -6 + x * -6) 10 = 5x + (-42 + -6x) Reorder the terms: 10 = -42 + 5x + -6x Combine like terms: 5x + -6x = -1x 10 = -42 + -1x Solving 10 = -42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + x = -42 + -1x + x Combine like terms: -1x + x = 0 10 + x = -42 + 0 10 + x = -42 Add '-10' to each side of the equation. 10 + -10 + x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + x = -42 + -10 x = -42 + -10 Combine like terms: -42 + -10 = -52 x = -52 Simplifying x = -52
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