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Simplifying 10 + 6x = -8(5x + -7) Reorder the terms: 10 + 6x = -8(-7 + 5x) 10 + 6x = (-7 * -8 + 5x * -8) 10 + 6x = (56 + -40x) Solving 10 + 6x = 56 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 10 + 6x + 40x = 56 + -40x + 40x Combine like terms: 6x + 40x = 46x 10 + 46x = 56 + -40x + 40x Combine like terms: -40x + 40x = 0 10 + 46x = 56 + 0 10 + 46x = 56 Add '-10' to each side of the equation. 10 + -10 + 46x = 56 + -10 Combine like terms: 10 + -10 = 0 0 + 46x = 56 + -10 46x = 56 + -10 Combine like terms: 56 + -10 = 46 46x = 46 Divide each side by '46'. x = 1 Simplifying x = 1
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