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Simplifying 7x + -2(3x + 1) = 4x + -1(-3 + -1x) + -19 Reorder the terms: 7x + -2(1 + 3x) = 4x + -1(-3 + -1x) + -19 7x + (1 * -2 + 3x * -2) = 4x + -1(-3 + -1x) + -19 7x + (-2 + -6x) = 4x + -1(-3 + -1x) + -19 Reorder the terms: -2 + 7x + -6x = 4x + -1(-3 + -1x) + -19 Combine like terms: 7x + -6x = 1x -2 + 1x = 4x + -1(-3 + -1x) + -19 -2 + 1x = 4x + (-3 * -1 + -1x * -1) + -19 -2 + 1x = 4x + (3 + 1x) + -19 Reorder the terms: -2 + 1x = 3 + -19 + 4x + 1x Combine like terms: 3 + -19 = -16 -2 + 1x = -16 + 4x + 1x Combine like terms: 4x + 1x = 5x -2 + 1x = -16 + 5x Solving -2 + 1x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 1x + -5x = -16 + 5x + -5x Combine like terms: 1x + -5x = -4x -2 + -4x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x = -16 + 0 -2 + -4x = -16 Add '2' to each side of the equation. -2 + 2 + -4x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -16 + 2 -4x = -16 + 2 Combine like terms: -16 + 2 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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