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Simplifying 3x + -19(x + 2) = 13 + -7x Reorder the terms: 3x + -19(2 + x) = 13 + -7x 3x + (2 * -19 + x * -19) = 13 + -7x 3x + (-38 + -19x) = 13 + -7x Reorder the terms: -38 + 3x + -19x = 13 + -7x Combine like terms: 3x + -19x = -16x -38 + -16x = 13 + -7x Solving -38 + -16x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -38 + -16x + 7x = 13 + -7x + 7x Combine like terms: -16x + 7x = -9x -38 + -9x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 -38 + -9x = 13 + 0 -38 + -9x = 13 Add '38' to each side of the equation. -38 + 38 + -9x = 13 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = 13 + 38 -9x = 13 + 38 Combine like terms: 13 + 38 = 51 -9x = 51 Divide each side by '-9'. x = -5.666666667 Simplifying x = -5.666666667
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