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Simplifying 14x + -4(4x + -2) = 5(2x + 1) + 3 Reorder the terms: 14x + -4(-2 + 4x) = 5(2x + 1) + 3 14x + (-2 * -4 + 4x * -4) = 5(2x + 1) + 3 14x + (8 + -16x) = 5(2x + 1) + 3 Reorder the terms: 8 + 14x + -16x = 5(2x + 1) + 3 Combine like terms: 14x + -16x = -2x 8 + -2x = 5(2x + 1) + 3 Reorder the terms: 8 + -2x = 5(1 + 2x) + 3 8 + -2x = (1 * 5 + 2x * 5) + 3 8 + -2x = (5 + 10x) + 3 Reorder the terms: 8 + -2x = 5 + 3 + 10x Combine like terms: 5 + 3 = 8 8 + -2x = 8 + 10x Add '-8' to each side of the equation. 8 + -8 + -2x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 0 + -2x = 8 + -8 + 10x -2x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 -2x = 0 + 10x -2x = 10x Solving -2x = 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. -2x + -10x = 10x + -10x Combine like terms: -2x + -10x = -12x -12x = 10x + -10x Combine like terms: 10x + -10x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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