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Simplifying 10 + -6x = 4(8 + -7x) 10 + -6x = (8 * 4 + -7x * 4) 10 + -6x = (32 + -28x) Solving 10 + -6x = 32 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 10 + -6x + 28x = 32 + -28x + 28x Combine like terms: -6x + 28x = 22x 10 + 22x = 32 + -28x + 28x Combine like terms: -28x + 28x = 0 10 + 22x = 32 + 0 10 + 22x = 32 Add '-10' to each side of the equation. 10 + -10 + 22x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 22x = 32 + -10 22x = 32 + -10 Combine like terms: 32 + -10 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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