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Simplifying 5(x + 2) + -11 = 2(-2x + -3) + -13 Reorder the terms: 5(2 + x) + -11 = 2(-2x + -3) + -13 (2 * 5 + x * 5) + -11 = 2(-2x + -3) + -13 (10 + 5x) + -11 = 2(-2x + -3) + -13 Reorder the terms: 10 + -11 + 5x = 2(-2x + -3) + -13 Combine like terms: 10 + -11 = -1 -1 + 5x = 2(-2x + -3) + -13 Reorder the terms: -1 + 5x = 2(-3 + -2x) + -13 -1 + 5x = (-3 * 2 + -2x * 2) + -13 -1 + 5x = (-6 + -4x) + -13 Reorder the terms: -1 + 5x = -6 + -13 + -4x Combine like terms: -6 + -13 = -19 -1 + 5x = -19 + -4x Solving -1 + 5x = -19 + -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. -1 + 5x + 4x = -19 + -4x + 4x Combine like terms: 5x + 4x = 9x -1 + 9x = -19 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 9x = -19 + 0 -1 + 9x = -19 Add '1' to each side of the equation. -1 + 1 + 9x = -19 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = -19 + 1 9x = -19 + 1 Combine like terms: -19 + 1 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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