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Simplifying 8(x + -4) + 6x = 3(1 + -7x) Reorder the terms: 8(-4 + x) + 6x = 3(1 + -7x) (-4 * 8 + x * 8) + 6x = 3(1 + -7x) (-32 + 8x) + 6x = 3(1 + -7x) Combine like terms: 8x + 6x = 14x -32 + 14x = 3(1 + -7x) -32 + 14x = (1 * 3 + -7x * 3) -32 + 14x = (3 + -21x) Solving -32 + 14x = 3 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -32 + 14x + 21x = 3 + -21x + 21x Combine like terms: 14x + 21x = 35x -32 + 35x = 3 + -21x + 21x Combine like terms: -21x + 21x = 0 -32 + 35x = 3 + 0 -32 + 35x = 3 Add '32' to each side of the equation. -32 + 32 + 35x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + 35x = 3 + 32 35x = 3 + 32 Combine like terms: 3 + 32 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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