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Simplifying 7x + (-1x + 19) = 14x + -1(15 + -9x) Reorder the terms: 7x + (19 + -1x) = 14x + -1(15 + -9x) Remove parenthesis around (19 + -1x) 7x + 19 + -1x = 14x + -1(15 + -9x) Reorder the terms: 19 + 7x + -1x = 14x + -1(15 + -9x) Combine like terms: 7x + -1x = 6x 19 + 6x = 14x + -1(15 + -9x) 19 + 6x = 14x + (15 * -1 + -9x * -1) 19 + 6x = 14x + (-15 + 9x) Reorder the terms: 19 + 6x = -15 + 14x + 9x Combine like terms: 14x + 9x = 23x 19 + 6x = -15 + 23x Solving 19 + 6x = -15 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 19 + 6x + -23x = -15 + 23x + -23x Combine like terms: 6x + -23x = -17x 19 + -17x = -15 + 23x + -23x Combine like terms: 23x + -23x = 0 19 + -17x = -15 + 0 19 + -17x = -15 Add '-19' to each side of the equation. 19 + -19 + -17x = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -17x = -15 + -19 -17x = -15 + -19 Combine like terms: -15 + -19 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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