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Simplifying 4(2x + -5) + -3(x + 6) = 4x + 9 Reorder the terms: 4(-5 + 2x) + -3(x + 6) = 4x + 9 (-5 * 4 + 2x * 4) + -3(x + 6) = 4x + 9 (-20 + 8x) + -3(x + 6) = 4x + 9 Reorder the terms: -20 + 8x + -3(6 + x) = 4x + 9 -20 + 8x + (6 * -3 + x * -3) = 4x + 9 -20 + 8x + (-18 + -3x) = 4x + 9 Reorder the terms: -20 + -18 + 8x + -3x = 4x + 9 Combine like terms: -20 + -18 = -38 -38 + 8x + -3x = 4x + 9 Combine like terms: 8x + -3x = 5x -38 + 5x = 4x + 9 Reorder the terms: -38 + 5x = 9 + 4x Solving -38 + 5x = 9 + 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. -38 + 5x + -4x = 9 + 4x + -4x Combine like terms: 5x + -4x = 1x -38 + 1x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 1x = 9 + 0 -38 + 1x = 9 Add '38' to each side of the equation. -38 + 38 + 1x = 9 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = 9 + 38 1x = 9 + 38 Combine like terms: 9 + 38 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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