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Simplifying -7(6 + -9x) + -4(3 + 2x) = -54 (6 * -7 + -9x * -7) + -4(3 + 2x) = -54 (-42 + 63x) + -4(3 + 2x) = -54 -42 + 63x + (3 * -4 + 2x * -4) = -54 -42 + 63x + (-12 + -8x) = -54 Reorder the terms: -42 + -12 + 63x + -8x = -54 Combine like terms: -42 + -12 = -54 -54 + 63x + -8x = -54 Combine like terms: 63x + -8x = 55x -54 + 55x = -54 Add '54' to each side of the equation. -54 + 54 + 55x = -54 + 54 Combine like terms: -54 + 54 = 0 0 + 55x = -54 + 54 55x = -54 + 54 Combine like terms: -54 + 54 = 0 55x = 0 Solving 55x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '55'. x = 0 Simplifying x = 0
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