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Simplifying -6(4x + -7) = -33 + x Reorder the terms: -6(-7 + 4x) = -33 + x (-7 * -6 + 4x * -6) = -33 + x (42 + -24x) = -33 + x Solving 42 + -24x = -33 + 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. 42 + -24x + -1x = -33 + x + -1x Combine like terms: -24x + -1x = -25x 42 + -25x = -33 + x + -1x Combine like terms: x + -1x = 0 42 + -25x = -33 + 0 42 + -25x = -33 Add '-42' to each side of the equation. 42 + -42 + -25x = -33 + -42 Combine like terms: 42 + -42 = 0 0 + -25x = -33 + -42 -25x = -33 + -42 Combine like terms: -33 + -42 = -75 -25x = -75 Divide each side by '-25'. x = 3 Simplifying x = 3
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