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Simplifying 7x + -2(3x + 1) = 4x + -1(3x + -1x) + -19 Reorder the terms: 7x + -2(1 + 3x) = 4x + -1(3x + -1x) + -19 7x + (1 * -2 + 3x * -2) = 4x + -1(3x + -1x) + -19 7x + (-2 + -6x) = 4x + -1(3x + -1x) + -19 Reorder the terms: -2 + 7x + -6x = 4x + -1(3x + -1x) + -19 Combine like terms: 7x + -6x = 1x -2 + 1x = 4x + -1(3x + -1x) + -19 Combine like terms: 3x + -1x = 2x -2 + 1x = 4x + -1(2x) + -19 Remove parenthesis around (2x) -2 + 1x = 4x + -1 * 2x + -19 Multiply -1 * 2 -2 + 1x = 4x + -2x + -19 Reorder the terms: -2 + 1x = -19 + 4x + -2x Combine like terms: 4x + -2x = 2x -2 + 1x = -19 + 2x Solving -2 + 1x = -19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 1x + -2x = -19 + 2x + -2x Combine like terms: 1x + -2x = -1x -2 + -1x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1x = -19 + 0 -2 + -1x = -19 Add '2' to each side of the equation. -2 + 2 + -1x = -19 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -19 + 2 -1x = -19 + 2 Combine like terms: -19 + 2 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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