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Simplifying 14x + -7 + 3(2x + -3) = 5(2x + 1) Reorder the terms: 14x + -7 + 3(-3 + 2x) = 5(2x + 1) 14x + -7 + (-3 * 3 + 2x * 3) = 5(2x + 1) 14x + -7 + (-9 + 6x) = 5(2x + 1) Reorder the terms: -7 + -9 + 14x + 6x = 5(2x + 1) Combine like terms: -7 + -9 = -16 -16 + 14x + 6x = 5(2x + 1) Combine like terms: 14x + 6x = 20x -16 + 20x = 5(2x + 1) Reorder the terms: -16 + 20x = 5(1 + 2x) -16 + 20x = (1 * 5 + 2x * 5) -16 + 20x = (5 + 10x) Solving -16 + 20x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 20x + -10x = 5 + 10x + -10x Combine like terms: 20x + -10x = 10x -16 + 10x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + 10x = 5 + 0 -16 + 10x = 5 Add '16' to each side of the equation. -16 + 16 + 10x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 5 + 16 10x = 5 + 16 Combine like terms: 5 + 16 = 21 10x = 21 Divide each side by '10'. x = 2.1 Simplifying x = 2.1
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