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Simplifying 2x + -4(x + -2) = -5 + 2x + -7 Reorder the terms: 2x + -4(-2 + x) = -5 + 2x + -7 2x + (-2 * -4 + x * -4) = -5 + 2x + -7 2x + (8 + -4x) = -5 + 2x + -7 Reorder the terms: 8 + 2x + -4x = -5 + 2x + -7 Combine like terms: 2x + -4x = -2x 8 + -2x = -5 + 2x + -7 Reorder the terms: 8 + -2x = -5 + -7 + 2x Combine like terms: -5 + -7 = -12 8 + -2x = -12 + 2x Solving 8 + -2x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x 8 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -4x = -12 + 0 8 + -4x = -12 Add '-8' to each side of the equation. 8 + -8 + -4x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -12 + -8 -4x = -12 + -8 Combine like terms: -12 + -8 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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