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Simplifying 15(x + -2) = -13(1 + x) + 11 Reorder the terms: 15(-2 + x) = -13(1 + x) + 11 (-2 * 15 + x * 15) = -13(1 + x) + 11 (-30 + 15x) = -13(1 + x) + 11 -30 + 15x = (1 * -13 + x * -13) + 11 -30 + 15x = (-13 + -13x) + 11 Reorder the terms: -30 + 15x = -13 + 11 + -13x Combine like terms: -13 + 11 = -2 -30 + 15x = -2 + -13x Solving -30 + 15x = -2 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -30 + 15x + 13x = -2 + -13x + 13x Combine like terms: 15x + 13x = 28x -30 + 28x = -2 + -13x + 13x Combine like terms: -13x + 13x = 0 -30 + 28x = -2 + 0 -30 + 28x = -2 Add '30' to each side of the equation. -30 + 30 + 28x = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 28x = -2 + 30 28x = -2 + 30 Combine like terms: -2 + 30 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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