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Simplifying 4(x + -2) = 5(x + 3) + 20 Reorder the terms: 4(-2 + x) = 5(x + 3) + 20 (-2 * 4 + x * 4) = 5(x + 3) + 20 (-8 + 4x) = 5(x + 3) + 20 Reorder the terms: -8 + 4x = 5(3 + x) + 20 -8 + 4x = (3 * 5 + x * 5) + 20 -8 + 4x = (15 + 5x) + 20 Reorder the terms: -8 + 4x = 15 + 20 + 5x Combine like terms: 15 + 20 = 35 -8 + 4x = 35 + 5x Solving -8 + 4x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 4x + -5x = 35 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = 35 + 0 -8 + -1x = 35 Add '8' to each side of the equation. -8 + 8 + -1x = 35 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 35 + 8 -1x = 35 + 8 Combine like terms: 35 + 8 = 43 -1x = 43 Divide each side by '-1'. x = -43 Simplifying x = -43
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