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Simplifying 3x + -2(2x + -4) = 4x + -7 Reorder the terms: 3x + -2(-4 + 2x) = 4x + -7 3x + (-4 * -2 + 2x * -2) = 4x + -7 3x + (8 + -4x) = 4x + -7 Reorder the terms: 8 + 3x + -4x = 4x + -7 Combine like terms: 3x + -4x = -1x 8 + -1x = 4x + -7 Reorder the terms: 8 + -1x = -7 + 4x Solving 8 + -1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -1x + -4x = -7 + 4x + -4x Combine like terms: -1x + -4x = -5x 8 + -5x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -5x = -7 + 0 8 + -5x = -7 Add '-8' to each side of the equation. 8 + -8 + -5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -7 + -8 -5x = -7 + -8 Combine like terms: -7 + -8 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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