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Simplifying 4(4x + 4) = -7(x + 5) Reorder the terms: 4(4 + 4x) = -7(x + 5) (4 * 4 + 4x * 4) = -7(x + 5) (16 + 16x) = -7(x + 5) Reorder the terms: 16 + 16x = -7(5 + x) 16 + 16x = (5 * -7 + x * -7) 16 + 16x = (-35 + -7x) Solving 16 + 16x = -35 + -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. 16 + 16x + 7x = -35 + -7x + 7x Combine like terms: 16x + 7x = 23x 16 + 23x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 16 + 23x = -35 + 0 16 + 23x = -35 Add '-16' to each side of the equation. 16 + -16 + 23x = -35 + -16 Combine like terms: 16 + -16 = 0 0 + 23x = -35 + -16 23x = -35 + -16 Combine like terms: -35 + -16 = -51 23x = -51 Divide each side by '23'. x = -2.217391304 Simplifying x = -2.217391304
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