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Simplifying -6(2x + 8) + 5(x + -1) = -53 Reorder the terms: -6(8 + 2x) + 5(x + -1) = -53 (8 * -6 + 2x * -6) + 5(x + -1) = -53 (-48 + -12x) + 5(x + -1) = -53 Reorder the terms: -48 + -12x + 5(-1 + x) = -53 -48 + -12x + (-1 * 5 + x * 5) = -53 -48 + -12x + (-5 + 5x) = -53 Reorder the terms: -48 + -5 + -12x + 5x = -53 Combine like terms: -48 + -5 = -53 -53 + -12x + 5x = -53 Combine like terms: -12x + 5x = -7x -53 + -7x = -53 Add '53' to each side of the equation. -53 + 53 + -7x = -53 + 53 Combine like terms: -53 + 53 = 0 0 + -7x = -53 + 53 -7x = -53 + 53 Combine like terms: -53 + 53 = 0 -7x = 0 Solving -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-7'. x = 0 Simplifying x = 0
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