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Simplifying 3x + -5(x + 3) + -1 = -1(4x + 15) Reorder the terms: 3x + -5(3 + x) + -1 = -1(4x + 15) 3x + (3 * -5 + x * -5) + -1 = -1(4x + 15) 3x + (-15 + -5x) + -1 = -1(4x + 15) Reorder the terms: -15 + -1 + 3x + -5x = -1(4x + 15) Combine like terms: -15 + -1 = -16 -16 + 3x + -5x = -1(4x + 15) Combine like terms: 3x + -5x = -2x -16 + -2x = -1(4x + 15) Reorder the terms: -16 + -2x = -1(15 + 4x) -16 + -2x = (15 * -1 + 4x * -1) -16 + -2x = (-15 + -4x) Solving -16 + -2x = -15 + -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. -16 + -2x + 4x = -15 + -4x + 4x Combine like terms: -2x + 4x = 2x -16 + 2x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 2x = -15 + 0 -16 + 2x = -15 Add '16' to each side of the equation. -16 + 16 + 2x = -15 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -15 + 16 2x = -15 + 16 Combine like terms: -15 + 16 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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