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Simplifying 3x + -1 = 5(x + -1) + -2(7 + -2x) Reorder the terms: -1 + 3x = 5(x + -1) + -2(7 + -2x) Reorder the terms: -1 + 3x = 5(-1 + x) + -2(7 + -2x) -1 + 3x = (-1 * 5 + x * 5) + -2(7 + -2x) -1 + 3x = (-5 + 5x) + -2(7 + -2x) -1 + 3x = -5 + 5x + (7 * -2 + -2x * -2) -1 + 3x = -5 + 5x + (-14 + 4x) Reorder the terms: -1 + 3x = -5 + -14 + 5x + 4x Combine like terms: -5 + -14 = -19 -1 + 3x = -19 + 5x + 4x Combine like terms: 5x + 4x = 9x -1 + 3x = -19 + 9x Solving -1 + 3x = -19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 3x + -9x = -19 + 9x + -9x Combine like terms: 3x + -9x = -6x -1 + -6x = -19 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -6x = -19 + 0 -1 + -6x = -19 Add '1' to each side of the equation. -1 + 1 + -6x = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = -19 + 1 -6x = -19 + 1 Combine like terms: -19 + 1 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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