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