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Simplifying 3(7x + -4) + -4(6x + 5) = x Reorder the terms: 3(-4 + 7x) + -4(6x + 5) = x (-4 * 3 + 7x * 3) + -4(6x + 5) = x (-12 + 21x) + -4(6x + 5) = x Reorder the terms: -12 + 21x + -4(5 + 6x) = x -12 + 21x + (5 * -4 + 6x * -4) = x -12 + 21x + (-20 + -24x) = x Reorder the terms: -12 + -20 + 21x + -24x = x Combine like terms: -12 + -20 = -32 -32 + 21x + -24x = x Combine like terms: 21x + -24x = -3x -32 + -3x = x Solving -32 + -3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + -3x + -1x = x + -1x Combine like terms: -3x + -1x = -4x -32 + -4x = x + -1x Combine like terms: x + -1x = 0 -32 + -4x = 0 Add '32' to each side of the equation. -32 + 32 + -4x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = 0 + 32 -4x = 0 + 32 Combine like terms: 0 + 32 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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