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Simplifying 4x + 2 + 2(5x + -3) = 4(2x + 5) Reorder the terms: 4x + 2 + 2(-3 + 5x) = 4(2x + 5) 4x + 2 + (-3 * 2 + 5x * 2) = 4(2x + 5) 4x + 2 + (-6 + 10x) = 4(2x + 5) Reorder the terms: 2 + -6 + 4x + 10x = 4(2x + 5) Combine like terms: 2 + -6 = -4 -4 + 4x + 10x = 4(2x + 5) Combine like terms: 4x + 10x = 14x -4 + 14x = 4(2x + 5) Reorder the terms: -4 + 14x = 4(5 + 2x) -4 + 14x = (5 * 4 + 2x * 4) -4 + 14x = (20 + 8x) Solving -4 + 14x = 20 + 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. -4 + 14x + -8x = 20 + 8x + -8x Combine like terms: 14x + -8x = 6x -4 + 6x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 6x = 20 + 0 -4 + 6x = 20 Add '4' to each side of the equation. -4 + 4 + 6x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 20 + 4 6x = 20 + 4 Combine like terms: 20 + 4 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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