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Simplifying 6(4x + -8) = -31 + 7x Reorder the terms: 6(-8 + 4x) = -31 + 7x (-8 * 6 + 4x * 6) = -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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