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Simplifying 7x + -3(2x + 1) = 8x + 5 + 9x + -19 Reorder the terms: 7x + -3(1 + 2x) = 8x + 5 + 9x + -19 7x + (1 * -3 + 2x * -3) = 8x + 5 + 9x + -19 7x + (-3 + -6x) = 8x + 5 + 9x + -19 Reorder the terms: -3 + 7x + -6x = 8x + 5 + 9x + -19 Combine like terms: 7x + -6x = 1x -3 + 1x = 8x + 5 + 9x + -19 Reorder the terms: -3 + 1x = 5 + -19 + 8x + 9x Combine like terms: 5 + -19 = -14 -3 + 1x = -14 + 8x + 9x Combine like terms: 8x + 9x = 17x -3 + 1x = -14 + 17x Solving -3 + 1x = -14 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -3 + 1x + -17x = -14 + 17x + -17x Combine like terms: 1x + -17x = -16x -3 + -16x = -14 + 17x + -17x Combine like terms: 17x + -17x = 0 -3 + -16x = -14 + 0 -3 + -16x = -14 Add '3' to each side of the equation. -3 + 3 + -16x = -14 + 3 Combine like terms: -3 + 3 = 0 0 + -16x = -14 + 3 -16x = -14 + 3 Combine like terms: -14 + 3 = -11 -16x = -11 Divide each side by '-16'. x = 0.6875 Simplifying x = 0.6875
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