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Simplifying 40 + -8x = -8x + -8(7 + 6x) 40 + -8x = -8x + (7 * -8 + 6x * -8) 40 + -8x = -8x + (-56 + -48x) Reorder the terms: 40 + -8x = -56 + -8x + -48x Combine like terms: -8x + -48x = -56x 40 + -8x = -56 + -56x Solving 40 + -8x = -56 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 40 + -8x + 56x = -56 + -56x + 56x Combine like terms: -8x + 56x = 48x 40 + 48x = -56 + -56x + 56x Combine like terms: -56x + 56x = 0 40 + 48x = -56 + 0 40 + 48x = -56 Add '-40' to each side of the equation. 40 + -40 + 48x = -56 + -40 Combine like terms: 40 + -40 = 0 0 + 48x = -56 + -40 48x = -56 + -40 Combine like terms: -56 + -40 = -96 48x = -96 Divide each side by '48'. x = -2 Simplifying x = -2
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