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Simplifying -1(5x + 11) + -2x = -3(8x + 5) + -13 Reorder the terms: -1(11 + 5x) + -2x = -3(8x + 5) + -13 (11 * -1 + 5x * -1) + -2x = -3(8x + 5) + -13 (-11 + -5x) + -2x = -3(8x + 5) + -13 Combine like terms: -5x + -2x = -7x -11 + -7x = -3(8x + 5) + -13 Reorder the terms: -11 + -7x = -3(5 + 8x) + -13 -11 + -7x = (5 * -3 + 8x * -3) + -13 -11 + -7x = (-15 + -24x) + -13 Reorder the terms: -11 + -7x = -15 + -13 + -24x Combine like terms: -15 + -13 = -28 -11 + -7x = -28 + -24x Solving -11 + -7x = -28 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -11 + -7x + 24x = -28 + -24x + 24x Combine like terms: -7x + 24x = 17x -11 + 17x = -28 + -24x + 24x Combine like terms: -24x + 24x = 0 -11 + 17x = -28 + 0 -11 + 17x = -28 Add '11' to each side of the equation. -11 + 11 + 17x = -28 + 11 Combine like terms: -11 + 11 = 0 0 + 17x = -28 + 11 17x = -28 + 11 Combine like terms: -28 + 11 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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