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Simplifying 8(6 + -3x) = 31 + -7x (6 * 8 + -3x * 8) = 31 + -7x (48 + -24x) = 31 + -7x Solving 48 + -24x = 31 + -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. 48 + -24x + 7x = 31 + -7x + 7x Combine like terms: -24x + 7x = -17x 48 + -17x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 48 + -17x = 31 + 0 48 + -17x = 31 Add '-48' to each side of the equation. 48 + -48 + -17x = 31 + -48 Combine like terms: 48 + -48 = 0 0 + -17x = 31 + -48 -17x = 31 + -48 Combine like terms: 31 + -48 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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