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Simplifying 2x + -4(4x + 1) = 3x + 15 Reorder the terms: 2x + -4(1 + 4x) = 3x + 15 2x + (1 * -4 + 4x * -4) = 3x + 15 2x + (-4 + -16x) = 3x + 15 Reorder the terms: -4 + 2x + -16x = 3x + 15 Combine like terms: 2x + -16x = -14x -4 + -14x = 3x + 15 Reorder the terms: -4 + -14x = 15 + 3x Solving -4 + -14x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -14x + -3x = 15 + 3x + -3x Combine like terms: -14x + -3x = -17x -4 + -17x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -17x = 15 + 0 -4 + -17x = 15 Add '4' to each side of the equation. -4 + 4 + -17x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -17x = 15 + 4 -17x = 15 + 4 Combine like terms: 15 + 4 = 19 -17x = 19 Divide each side by '-17'. x = -1.117647059 Simplifying x = -1.117647059
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