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Simplifying 4(x + 2) = 5 + -1(x + -2) Reorder the terms: 4(2 + x) = 5 + -1(x + -2) (2 * 4 + x * 4) = 5 + -1(x + -2) (8 + 4x) = 5 + -1(x + -2) Reorder the terms: 8 + 4x = 5 + -1(-2 + x) 8 + 4x = 5 + (-2 * -1 + x * -1) 8 + 4x = 5 + (2 + -1x) Combine like terms: 5 + 2 = 7 8 + 4x = 7 + -1x Solving 8 + 4x = 7 + -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. 8 + 4x + x = 7 + -1x + x Combine like terms: 4x + x = 5x 8 + 5x = 7 + -1x + x Combine like terms: -1x + x = 0 8 + 5x = 7 + 0 8 + 5x = 7 Add '-8' to each side of the equation. 8 + -8 + 5x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 7 + -8 5x = 7 + -8 Combine like terms: 7 + -8 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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