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Simplifying -5(3x + 5) + -3 = -5(x + 3) + 2x Reorder the terms: -5(5 + 3x) + -3 = -5(x + 3) + 2x (5 * -5 + 3x * -5) + -3 = -5(x + 3) + 2x (-25 + -15x) + -3 = -5(x + 3) + 2x Reorder the terms: -25 + -3 + -15x = -5(x + 3) + 2x Combine like terms: -25 + -3 = -28 -28 + -15x = -5(x + 3) + 2x Reorder the terms: -28 + -15x = -5(3 + x) + 2x -28 + -15x = (3 * -5 + x * -5) + 2x -28 + -15x = (-15 + -5x) + 2x Combine like terms: -5x + 2x = -3x -28 + -15x = -15 + -3x Solving -28 + -15x = -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. -28 + -15x + 3x = -15 + -3x + 3x Combine like terms: -15x + 3x = -12x -28 + -12x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + -12x = -15 + 0 -28 + -12x = -15 Add '28' to each side of the equation. -28 + 28 + -12x = -15 + 28 Combine like terms: -28 + 28 = 0 0 + -12x = -15 + 28 -12x = -15 + 28 Combine like terms: -15 + 28 = 13 -12x = 13 Divide each side by '-12'. x = -1.083333333 Simplifying x = -1.083333333
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