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Simplifying 4x + 3 + -2(5x + -4) = 14x + 1 Reorder the terms: 4x + 3 + -2(-4 + 5x) = 14x + 1 4x + 3 + (-4 * -2 + 5x * -2) = 14x + 1 4x + 3 + (8 + -10x) = 14x + 1 Reorder the terms: 3 + 8 + 4x + -10x = 14x + 1 Combine like terms: 3 + 8 = 11 11 + 4x + -10x = 14x + 1 Combine like terms: 4x + -10x = -6x 11 + -6x = 14x + 1 Reorder the terms: 11 + -6x = 1 + 14x Solving 11 + -6x = 1 + 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. 11 + -6x + -14x = 1 + 14x + -14x Combine like terms: -6x + -14x = -20x 11 + -20x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + -20x = 1 + 0 11 + -20x = 1 Add '-11' to each side of the equation. 11 + -11 + -20x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -20x = 1 + -11 -20x = 1 + -11 Combine like terms: 1 + -11 = -10 -20x = -10 Divide each side by '-20'. x = 0.5 Simplifying x = 0.5
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