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Simplifying 5x + -2(4x + -12) = -7x + -12 Reorder the terms: 5x + -2(-12 + 4x) = -7x + -12 5x + (-12 * -2 + 4x * -2) = -7x + -12 5x + (24 + -8x) = -7x + -12 Reorder the terms: 24 + 5x + -8x = -7x + -12 Combine like terms: 5x + -8x = -3x 24 + -3x = -7x + -12 Reorder the terms: 24 + -3x = -12 + -7x Solving 24 + -3x = -12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + -3x + 7x = -12 + -7x + 7x Combine like terms: -3x + 7x = 4x 24 + 4x = -12 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 4x = -12 + 0 24 + 4x = -12 Add '-24' to each side of the equation. 24 + -24 + 4x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -12 + -24 4x = -12 + -24 Combine like terms: -12 + -24 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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