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Simplifying 8x + 13 = -7(-8x + 5) Reorder the terms: 13 + 8x = -7(-8x + 5) Reorder the terms: 13 + 8x = -7(5 + -8x) 13 + 8x = (5 * -7 + -8x * -7) 13 + 8x = (-35 + 56x) Solving 13 + 8x = -35 + 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. 13 + 8x + -56x = -35 + 56x + -56x Combine like terms: 8x + -56x = -48x 13 + -48x = -35 + 56x + -56x Combine like terms: 56x + -56x = 0 13 + -48x = -35 + 0 13 + -48x = -35 Add '-13' to each side of the equation. 13 + -13 + -48x = -35 + -13 Combine like terms: 13 + -13 = 0 0 + -48x = -35 + -13 -48x = -35 + -13 Combine like terms: -35 + -13 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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