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Simplifying -1(5x + 14) + -9 = -3(2x + -1) + -7 Reorder the terms: -1(14 + 5x) + -9 = -3(2x + -1) + -7 (14 * -1 + 5x * -1) + -9 = -3(2x + -1) + -7 (-14 + -5x) + -9 = -3(2x + -1) + -7 Reorder the terms: -14 + -9 + -5x = -3(2x + -1) + -7 Combine like terms: -14 + -9 = -23 -23 + -5x = -3(2x + -1) + -7 Reorder the terms: -23 + -5x = -3(-1 + 2x) + -7 -23 + -5x = (-1 * -3 + 2x * -3) + -7 -23 + -5x = (3 + -6x) + -7 Reorder the terms: -23 + -5x = 3 + -7 + -6x Combine like terms: 3 + -7 = -4 -23 + -5x = -4 + -6x Solving -23 + -5x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -23 + -5x + 6x = -4 + -6x + 6x Combine like terms: -5x + 6x = 1x -23 + 1x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -23 + 1x = -4 + 0 -23 + 1x = -4 Add '23' to each side of the equation. -23 + 23 + 1x = -4 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = -4 + 23 1x = -4 + 23 Combine like terms: -4 + 23 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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