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Simplifying -8x + 35 = 8(8 + -4x) + -5 Reorder the terms: 35 + -8x = 8(8 + -4x) + -5 35 + -8x = (8 * 8 + -4x * 8) + -5 35 + -8x = (64 + -32x) + -5 Reorder the terms: 35 + -8x = 64 + -5 + -32x Combine like terms: 64 + -5 = 59 35 + -8x = 59 + -32x Solving 35 + -8x = 59 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 35 + -8x + 32x = 59 + -32x + 32x Combine like terms: -8x + 32x = 24x 35 + 24x = 59 + -32x + 32x Combine like terms: -32x + 32x = 0 35 + 24x = 59 + 0 35 + 24x = 59 Add '-35' to each side of the equation. 35 + -35 + 24x = 59 + -35 Combine like terms: 35 + -35 = 0 0 + 24x = 59 + -35 24x = 59 + -35 Combine like terms: 59 + -35 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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