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Simplifying 3(2x + -5) + -1(x + 5) = 4(x + 2) + -5 Reorder the terms: 3(-5 + 2x) + -1(x + 5) = 4(x + 2) + -5 (-5 * 3 + 2x * 3) + -1(x + 5) = 4(x + 2) + -5 (-15 + 6x) + -1(x + 5) = 4(x + 2) + -5 Reorder the terms: -15 + 6x + -1(5 + x) = 4(x + 2) + -5 -15 + 6x + (5 * -1 + x * -1) = 4(x + 2) + -5 -15 + 6x + (-5 + -1x) = 4(x + 2) + -5 Reorder the terms: -15 + -5 + 6x + -1x = 4(x + 2) + -5 Combine like terms: -15 + -5 = -20 -20 + 6x + -1x = 4(x + 2) + -5 Combine like terms: 6x + -1x = 5x -20 + 5x = 4(x + 2) + -5 Reorder the terms: -20 + 5x = 4(2 + x) + -5 -20 + 5x = (2 * 4 + x * 4) + -5 -20 + 5x = (8 + 4x) + -5 Reorder the terms: -20 + 5x = 8 + -5 + 4x Combine like terms: 8 + -5 = 3 -20 + 5x = 3 + 4x Solving -20 + 5x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 5x + -4x = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x -20 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 1x = 3 + 0 -20 + 1x = 3 Add '20' to each side of the equation. -20 + 20 + 1x = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 3 + 20 1x = 3 + 20 Combine like terms: 3 + 20 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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