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Simplifying 4(2x + -5) = 7(x + 4) Reorder the terms: 4(-5 + 2x) = 7(x + 4) (-5 * 4 + 2x * 4) = 7(x + 4) (-20 + 8x) = 7(x + 4) Reorder the terms: -20 + 8x = 7(4 + x) -20 + 8x = (4 * 7 + x * 7) -20 + 8x = (28 + 7x) Solving -20 + 8x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 8x + -7x = 28 + 7x + -7x Combine like terms: 8x + -7x = 1x -20 + 1x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 1x = 28 + 0 -20 + 1x = 28 Add '20' to each side of the equation. -20 + 20 + 1x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 28 + 20 1x = 28 + 20 Combine like terms: 28 + 20 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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