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Simplifying 4(x + -8) = 7(x + 5) + -1x Reorder the terms: 4(-8 + x) = 7(x + 5) + -1x (-8 * 4 + x * 4) = 7(x + 5) + -1x (-32 + 4x) = 7(x + 5) + -1x Reorder the terms: -32 + 4x = 7(5 + x) + -1x -32 + 4x = (5 * 7 + x * 7) + -1x -32 + 4x = (35 + 7x) + -1x Combine like terms: 7x + -1x = 6x -32 + 4x = 35 + 6x Solving -32 + 4x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 4x + -6x = 35 + 6x + -6x Combine like terms: 4x + -6x = -2x -32 + -2x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -2x = 35 + 0 -32 + -2x = 35 Add '32' to each side of the equation. -32 + 32 + -2x = 35 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = 35 + 32 -2x = 35 + 32 Combine like terms: 35 + 32 = 67 -2x = 67 Divide each side by '-2'. x = -33.5 Simplifying x = -33.5
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