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Simplifying 7x + -2(3x + 1) = 4x + -3(3 + -1x) + -19 Reorder the terms: 7x + -2(1 + 3x) = 4x + -3(3 + -1x) + -19 7x + (1 * -2 + 3x * -2) = 4x + -3(3 + -1x) + -19 7x + (-2 + -6x) = 4x + -3(3 + -1x) + -19 Reorder the terms: -2 + 7x + -6x = 4x + -3(3 + -1x) + -19 Combine like terms: 7x + -6x = 1x -2 + 1x = 4x + -3(3 + -1x) + -19 -2 + 1x = 4x + (3 * -3 + -1x * -3) + -19 -2 + 1x = 4x + (-9 + 3x) + -19 Reorder the terms: -2 + 1x = -9 + -19 + 4x + 3x Combine like terms: -9 + -19 = -28 -2 + 1x = -28 + 4x + 3x Combine like terms: 4x + 3x = 7x -2 + 1x = -28 + 7x Solving -2 + 1x = -28 + 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. -2 + 1x + -7x = -28 + 7x + -7x Combine like terms: 1x + -7x = -6x -2 + -6x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -6x = -28 + 0 -2 + -6x = -28 Add '2' to each side of the equation. -2 + 2 + -6x = -28 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -28 + 2 -6x = -28 + 2 Combine like terms: -28 + 2 = -26 -6x = -26 Divide each side by '-6'. x = 4.333333333 Simplifying x = 4.333333333
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