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Simplifying 7(4x + -1) + -9x = -7(x + 1) Reorder the terms: 7(-1 + 4x) + -9x = -7(x + 1) (-1 * 7 + 4x * 7) + -9x = -7(x + 1) (-7 + 28x) + -9x = -7(x + 1) Combine like terms: 28x + -9x = 19x -7 + 19x = -7(x + 1) Reorder the terms: -7 + 19x = -7(1 + x) -7 + 19x = (1 * -7 + x * -7) -7 + 19x = (-7 + -7x) Add '7' to each side of the equation. -7 + 7 + 19x = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 0 + 19x = -7 + 7 + -7x 19x = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 19x = 0 + -7x 19x = -7x Solving 19x = -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. 19x + 7x = -7x + 7x Combine like terms: 19x + 7x = 26x 26x = -7x + 7x Combine like terms: -7x + 7x = 0 26x = 0 Divide each side by '26'. x = 0 Simplifying x = 0
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