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Simplifying -7(2 + -6x) + -4(1 + 7x) = 8x + 8x (2 * -7 + -6x * -7) + -4(1 + 7x) = 8x + 8x (-14 + 42x) + -4(1 + 7x) = 8x + 8x -14 + 42x + (1 * -4 + 7x * -4) = 8x + 8x -14 + 42x + (-4 + -28x) = 8x + 8x Reorder the terms: -14 + -4 + 42x + -28x = 8x + 8x Combine like terms: -14 + -4 = -18 -18 + 42x + -28x = 8x + 8x Combine like terms: 42x + -28x = 14x -18 + 14x = 8x + 8x Combine like terms: 8x + 8x = 16x -18 + 14x = 16x Solving -18 + 14x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -18 + 14x + -16x = 16x + -16x Combine like terms: 14x + -16x = -2x -18 + -2x = 16x + -16x Combine like terms: 16x + -16x = 0 -18 + -2x = 0 Add '18' to each side of the equation. -18 + 18 + -2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 0 + 18 -2x = 0 + 18 Combine like terms: 0 + 18 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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