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Simplifying 2x + -4(x + -3) = -5 + 2x + -7 Reorder the terms: 2x + -4(-3 + x) = -5 + 2x + -7 2x + (-3 * -4 + x * -4) = -5 + 2x + -7 2x + (12 + -4x) = -5 + 2x + -7 Reorder the terms: 12 + 2x + -4x = -5 + 2x + -7 Combine like terms: 2x + -4x = -2x 12 + -2x = -5 + 2x + -7 Reorder the terms: 12 + -2x = -5 + -7 + 2x Combine like terms: -5 + -7 = -12 12 + -2x = -12 + 2x Solving 12 + -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. 12 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x 12 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -4x = -12 + 0 12 + -4x = -12 Add '-12' to each side of the equation. 12 + -12 + -4x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -12 + -12 -4x = -12 + -12 Combine like terms: -12 + -12 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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