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Simplifying 7(x + 4) = -4(4x + -4) + 5x Reorder the terms: 7(4 + x) = -4(4x + -4) + 5x (4 * 7 + x * 7) = -4(4x + -4) + 5x (28 + 7x) = -4(4x + -4) + 5x Reorder the terms: 28 + 7x = -4(-4 + 4x) + 5x 28 + 7x = (-4 * -4 + 4x * -4) + 5x 28 + 7x = (16 + -16x) + 5x Combine like terms: -16x + 5x = -11x 28 + 7x = 16 + -11x Solving 28 + 7x = 16 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 28 + 7x + 11x = 16 + -11x + 11x Combine like terms: 7x + 11x = 18x 28 + 18x = 16 + -11x + 11x Combine like terms: -11x + 11x = 0 28 + 18x = 16 + 0 28 + 18x = 16 Add '-28' to each side of the equation. 28 + -28 + 18x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 18x = 16 + -28 18x = 16 + -28 Combine like terms: 16 + -28 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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