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Simplifying x + -5 = 4(7x + -8) Reorder the terms: -5 + x = 4(7x + -8) Reorder the terms: -5 + x = 4(-8 + 7x) -5 + x = (-8 * 4 + 7x * 4) -5 + x = (-32 + 28x) Solving -5 + x = -32 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -5 + x + -28x = -32 + 28x + -28x Combine like terms: x + -28x = -27x -5 + -27x = -32 + 28x + -28x Combine like terms: 28x + -28x = 0 -5 + -27x = -32 + 0 -5 + -27x = -32 Add '5' to each side of the equation. -5 + 5 + -27x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -27x = -32 + 5 -27x = -32 + 5 Combine like terms: -32 + 5 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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