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Simplifying 5x + -1(3x + 14) = 4(x + 3) Reorder the terms: 5x + -1(14 + 3x) = 4(x + 3) 5x + (14 * -1 + 3x * -1) = 4(x + 3) 5x + (-14 + -3x) = 4(x + 3) Reorder the terms: -14 + 5x + -3x = 4(x + 3) Combine like terms: 5x + -3x = 2x -14 + 2x = 4(x + 3) Reorder the terms: -14 + 2x = 4(3 + x) -14 + 2x = (3 * 4 + x * 4) -14 + 2x = (12 + 4x) Solving -14 + 2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x -14 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -2x = 12 + 0 -14 + -2x = 12 Add '14' to each side of the equation. -14 + 14 + -2x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 12 + 14 -2x = 12 + 14 Combine like terms: 12 + 14 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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