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Simplifying 2(x + 4) + -5x = 4(x + -5) Reorder the terms: 2(4 + x) + -5x = 4(x + -5) (4 * 2 + x * 2) + -5x = 4(x + -5) (8 + 2x) + -5x = 4(x + -5) Combine like terms: 2x + -5x = -3x 8 + -3x = 4(x + -5) Reorder the terms: 8 + -3x = 4(-5 + x) 8 + -3x = (-5 * 4 + x * 4) 8 + -3x = (-20 + 4x) Solving 8 + -3x = -20 + 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. 8 + -3x + -4x = -20 + 4x + -4x Combine like terms: -3x + -4x = -7x 8 + -7x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -7x = -20 + 0 8 + -7x = -20 Add '-8' to each side of the equation. 8 + -8 + -7x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -20 + -8 -7x = -20 + -8 Combine like terms: -20 + -8 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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