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Simplifying -4(-2x + 8) + -5x = 7(x + -4) + -2 Reorder the terms: -4(8 + -2x) + -5x = 7(x + -4) + -2 (8 * -4 + -2x * -4) + -5x = 7(x + -4) + -2 (-32 + 8x) + -5x = 7(x + -4) + -2 Combine like terms: 8x + -5x = 3x -32 + 3x = 7(x + -4) + -2 Reorder the terms: -32 + 3x = 7(-4 + x) + -2 -32 + 3x = (-4 * 7 + x * 7) + -2 -32 + 3x = (-28 + 7x) + -2 Reorder the terms: -32 + 3x = -28 + -2 + 7x Combine like terms: -28 + -2 = -30 -32 + 3x = -30 + 7x Solving -32 + 3x = -30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -32 + 3x + -7x = -30 + 7x + -7x Combine like terms: 3x + -7x = -4x -32 + -4x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + -4x = -30 + 0 -32 + -4x = -30 Add '32' to each side of the equation. -32 + 32 + -4x = -30 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -30 + 32 -4x = -30 + 32 Combine like terms: -30 + 32 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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