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Simplifying -20(x + 1) + 6(4x + -3) = 3(x + -5) + 10 Reorder the terms: -20(1 + x) + 6(4x + -3) = 3(x + -5) + 10 (1 * -20 + x * -20) + 6(4x + -3) = 3(x + -5) + 10 (-20 + -20x) + 6(4x + -3) = 3(x + -5) + 10 Reorder the terms: -20 + -20x + 6(-3 + 4x) = 3(x + -5) + 10 -20 + -20x + (-3 * 6 + 4x * 6) = 3(x + -5) + 10 -20 + -20x + (-18 + 24x) = 3(x + -5) + 10 Reorder the terms: -20 + -18 + -20x + 24x = 3(x + -5) + 10 Combine like terms: -20 + -18 = -38 -38 + -20x + 24x = 3(x + -5) + 10 Combine like terms: -20x + 24x = 4x -38 + 4x = 3(x + -5) + 10 Reorder the terms: -38 + 4x = 3(-5 + x) + 10 -38 + 4x = (-5 * 3 + x * 3) + 10 -38 + 4x = (-15 + 3x) + 10 Reorder the terms: -38 + 4x = -15 + 10 + 3x Combine like terms: -15 + 10 = -5 -38 + 4x = -5 + 3x Solving -38 + 4x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -38 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x -38 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 1x = -5 + 0 -38 + 1x = -5 Add '38' to each side of the equation. -38 + 38 + 1x = -5 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -5 + 38 1x = -5 + 38 Combine like terms: -5 + 38 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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