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Simplifying -5(x + 1) + -7(x + 9) = 4x Reorder the terms: -5(1 + x) + -7(x + 9) = 4x (1 * -5 + x * -5) + -7(x + 9) = 4x (-5 + -5x) + -7(x + 9) = 4x Reorder the terms: -5 + -5x + -7(9 + x) = 4x -5 + -5x + (9 * -7 + x * -7) = 4x -5 + -5x + (-63 + -7x) = 4x Reorder the terms: -5 + -63 + -5x + -7x = 4x Combine like terms: -5 + -63 = -68 -68 + -5x + -7x = 4x Combine like terms: -5x + -7x = -12x -68 + -12x = 4x Solving -68 + -12x = 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. -68 + -12x + -4x = 4x + -4x Combine like terms: -12x + -4x = -16x -68 + -16x = 4x + -4x Combine like terms: 4x + -4x = 0 -68 + -16x = 0 Add '68' to each side of the equation. -68 + 68 + -16x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + -16x = 0 + 68 -16x = 0 + 68 Combine like terms: 0 + 68 = 68 -16x = 68 Divide each side by '-16'. x = -4.25 Simplifying x = -4.25
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