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Simplifying 5x + -1(9x + 14) = 3(x + 10) + -2 Reorder the terms: 5x + -1(14 + 9x) = 3(x + 10) + -2 5x + (14 * -1 + 9x * -1) = 3(x + 10) + -2 5x + (-14 + -9x) = 3(x + 10) + -2 Reorder the terms: -14 + 5x + -9x = 3(x + 10) + -2 Combine like terms: 5x + -9x = -4x -14 + -4x = 3(x + 10) + -2 Reorder the terms: -14 + -4x = 3(10 + x) + -2 -14 + -4x = (10 * 3 + x * 3) + -2 -14 + -4x = (30 + 3x) + -2 Reorder the terms: -14 + -4x = 30 + -2 + 3x Combine like terms: 30 + -2 = 28 -14 + -4x = 28 + 3x Solving -14 + -4x = 28 + 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. -14 + -4x + -3x = 28 + 3x + -3x Combine like terms: -4x + -3x = -7x -14 + -7x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -7x = 28 + 0 -14 + -7x = 28 Add '14' to each side of the equation. -14 + 14 + -7x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 28 + 14 -7x = 28 + 14 Combine like terms: 28 + 14 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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