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Simplifying 4(5x + -7) + -4 = 3x + -11 + -7x Reorder the terms: 4(-7 + 5x) + -4 = 3x + -11 + -7x (-7 * 4 + 5x * 4) + -4 = 3x + -11 + -7x (-28 + 20x) + -4 = 3x + -11 + -7x Reorder the terms: -28 + -4 + 20x = 3x + -11 + -7x Combine like terms: -28 + -4 = -32 -32 + 20x = 3x + -11 + -7x Reorder the terms: -32 + 20x = -11 + 3x + -7x Combine like terms: 3x + -7x = -4x -32 + 20x = -11 + -4x Solving -32 + 20x = -11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -32 + 20x + 4x = -11 + -4x + 4x Combine like terms: 20x + 4x = 24x -32 + 24x = -11 + -4x + 4x Combine like terms: -4x + 4x = 0 -32 + 24x = -11 + 0 -32 + 24x = -11 Add '32' to each side of the equation. -32 + 32 + 24x = -11 + 32 Combine like terms: -32 + 32 = 0 0 + 24x = -11 + 32 24x = -11 + 32 Combine like terms: -11 + 32 = 21 24x = 21 Divide each side by '24'. x = 0.875 Simplifying x = 0.875
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