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