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