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