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Simplifying 4(x + 5) + 2 = 10x + 4(x + 2) Reorder the terms: 4(5 + x) + 2 = 10x + 4(x + 2) (5 * 4 + x * 4) + 2 = 10x + 4(x + 2) (20 + 4x) + 2 = 10x + 4(x + 2) Reorder the terms: 20 + 2 + 4x = 10x + 4(x + 2) Combine like terms: 20 + 2 = 22 22 + 4x = 10x + 4(x + 2) Reorder the terms: 22 + 4x = 10x + 4(2 + x) 22 + 4x = 10x + (2 * 4 + x * 4) 22 + 4x = 10x + (8 + 4x) Reorder the terms: 22 + 4x = 8 + 10x + 4x Combine like terms: 10x + 4x = 14x 22 + 4x = 8 + 14x Solving 22 + 4x = 8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 22 + 4x + -14x = 8 + 14x + -14x Combine like terms: 4x + -14x = -10x 22 + -10x = 8 + 14x + -14x Combine like terms: 14x + -14x = 0 22 + -10x = 8 + 0 22 + -10x = 8 Add '-22' to each side of the equation. 22 + -22 + -10x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = 8 + -22 -10x = 8 + -22 Combine like terms: 8 + -22 = -14 -10x = -14 Divide each side by '-10'. x = 1.4 Simplifying x = 1.4
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