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Simplifying -12(x + 7) = 3x + -53 Reorder the terms: -12(7 + x) = 3x + -53 (7 * -12 + x * -12) = 3x + -53 (-84 + -12x) = 3x + -53 Reorder the terms: -84 + -12x = -53 + 3x Solving -84 + -12x = -53 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -84 + -12x + -3x = -53 + 3x + -3x Combine like terms: -12x + -3x = -15x -84 + -15x = -53 + 3x + -3x Combine like terms: 3x + -3x = 0 -84 + -15x = -53 + 0 -84 + -15x = -53 Add '84' to each side of the equation. -84 + 84 + -15x = -53 + 84 Combine like terms: -84 + 84 = 0 0 + -15x = -53 + 84 -15x = -53 + 84 Combine like terms: -53 + 84 = 31 -15x = 31 Divide each side by '-15'. x = -2.066666667 Simplifying x = -2.066666667
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