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Simplifying -13 + 4x = -7x + 8(8x + 5) Reorder the terms: -13 + 4x = -7x + 8(5 + 8x) -13 + 4x = -7x + (5 * 8 + 8x * 8) -13 + 4x = -7x + (40 + 64x) Reorder the terms: -13 + 4x = 40 + -7x + 64x Combine like terms: -7x + 64x = 57x -13 + 4x = 40 + 57x Solving -13 + 4x = 40 + 57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57x' to each side of the equation. -13 + 4x + -57x = 40 + 57x + -57x Combine like terms: 4x + -57x = -53x -13 + -53x = 40 + 57x + -57x Combine like terms: 57x + -57x = 0 -13 + -53x = 40 + 0 -13 + -53x = 40 Add '13' to each side of the equation. -13 + 13 + -53x = 40 + 13 Combine like terms: -13 + 13 = 0 0 + -53x = 40 + 13 -53x = 40 + 13 Combine like terms: 40 + 13 = 53 -53x = 53 Divide each side by '-53'. x = -1 Simplifying x = -1
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