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Simplifying 5x + -7 = 4(x + -2) + 3 Reorder the terms: -7 + 5x = 4(x + -2) + 3 Reorder the terms: -7 + 5x = 4(-2 + x) + 3 -7 + 5x = (-2 * 4 + x * 4) + 3 -7 + 5x = (-8 + 4x) + 3 Reorder the terms: -7 + 5x = -8 + 3 + 4x Combine like terms: -8 + 3 = -5 -7 + 5x = -5 + 4x Solving -7 + 5x = -5 + 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. -7 + 5x + -4x = -5 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = -5 + 0 -7 + 1x = -5 Add '7' to each side of the equation. -7 + 7 + 1x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -5 + 7 1x = -5 + 7 Combine like terms: -5 + 7 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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