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Simplifying -5x + 36 = 6x + -7(x + -8) Reorder the terms: 36 + -5x = 6x + -7(x + -8) Reorder the terms: 36 + -5x = 6x + -7(-8 + x) 36 + -5x = 6x + (-8 * -7 + x * -7) 36 + -5x = 6x + (56 + -7x) Reorder the terms: 36 + -5x = 56 + 6x + -7x Combine like terms: 6x + -7x = -1x 36 + -5x = 56 + -1x Solving 36 + -5x = 56 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 36 + -5x + x = 56 + -1x + x Combine like terms: -5x + x = -4x 36 + -4x = 56 + -1x + x Combine like terms: -1x + x = 0 36 + -4x = 56 + 0 36 + -4x = 56 Add '-36' to each side of the equation. 36 + -36 + -4x = 56 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = 56 + -36 -4x = 56 + -36 Combine like terms: 56 + -36 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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