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Simplifying 5x + -7(2 + 3x) = x + 20 5x + (2 * -7 + 3x * -7) = x + 20 5x + (-14 + -21x) = x + 20 Reorder the terms: -14 + 5x + -21x = x + 20 Combine like terms: 5x + -21x = -16x -14 + -16x = x + 20 Reorder the terms: -14 + -16x = 20 + x Solving -14 + -16x = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + -16x + -1x = 20 + x + -1x Combine like terms: -16x + -1x = -17x -14 + -17x = 20 + x + -1x Combine like terms: x + -1x = 0 -14 + -17x = 20 + 0 -14 + -17x = 20 Add '14' to each side of the equation. -14 + 14 + -17x = 20 + 14 Combine like terms: -14 + 14 = 0 0 + -17x = 20 + 14 -17x = 20 + 14 Combine like terms: 20 + 14 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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