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