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Simplifying -7(-4x + -11) + -12 = -33 + 14x Reorder the terms: -7(-11 + -4x) + -12 = -33 + 14x (-11 * -7 + -4x * -7) + -12 = -33 + 14x (77 + 28x) + -12 = -33 + 14x Reorder the terms: 77 + -12 + 28x = -33 + 14x Combine like terms: 77 + -12 = 65 65 + 28x = -33 + 14x Solving 65 + 28x = -33 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 65 + 28x + -14x = -33 + 14x + -14x Combine like terms: 28x + -14x = 14x 65 + 14x = -33 + 14x + -14x Combine like terms: 14x + -14x = 0 65 + 14x = -33 + 0 65 + 14x = -33 Add '-65' to each side of the equation. 65 + -65 + 14x = -33 + -65 Combine like terms: 65 + -65 = 0 0 + 14x = -33 + -65 14x = -33 + -65 Combine like terms: -33 + -65 = -98 14x = -98 Divide each side by '14'. x = -7 Simplifying x = -7
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