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