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Simplifying -12(x + 7) = x + -53 Reorder the terms: -12(7 + x) = x + -53 (7 * -12 + x * -12) = x + -53 (-84 + -12x) = x + -53 Reorder the terms: -84 + -12x = -53 + x Solving -84 + -12x = -53 + 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. -84 + -12x + -1x = -53 + x + -1x Combine like terms: -12x + -1x = -13x -84 + -13x = -53 + x + -1x Combine like terms: x + -1x = 0 -84 + -13x = -53 + 0 -84 + -13x = -53 Add '84' to each side of the equation. -84 + 84 + -13x = -53 + 84 Combine like terms: -84 + 84 = 0 0 + -13x = -53 + 84 -13x = -53 + 84 Combine like terms: -53 + 84 = 31 -13x = 31 Divide each side by '-13'. x = -2.384615385 Simplifying x = -2.384615385
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