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Simplifying 3(x + -1) + -1 = 4(2x + 1) + -14x + 9 Reorder the terms: 3(-1 + x) + -1 = 4(2x + 1) + -14x + 9 (-1 * 3 + x * 3) + -1 = 4(2x + 1) + -14x + 9 (-3 + 3x) + -1 = 4(2x + 1) + -14x + 9 Reorder the terms: -3 + -1 + 3x = 4(2x + 1) + -14x + 9 Combine like terms: -3 + -1 = -4 -4 + 3x = 4(2x + 1) + -14x + 9 Reorder the terms: -4 + 3x = 4(1 + 2x) + -14x + 9 -4 + 3x = (1 * 4 + 2x * 4) + -14x + 9 -4 + 3x = (4 + 8x) + -14x + 9 Reorder the terms: -4 + 3x = 4 + 9 + 8x + -14x Combine like terms: 4 + 9 = 13 -4 + 3x = 13 + 8x + -14x Combine like terms: 8x + -14x = -6x -4 + 3x = 13 + -6x Solving -4 + 3x = 13 + -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. -4 + 3x + 6x = 13 + -6x + 6x Combine like terms: 3x + 6x = 9x -4 + 9x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 9x = 13 + 0 -4 + 9x = 13 Add '4' to each side of the equation. -4 + 4 + 9x = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 13 + 4 9x = 13 + 4 Combine like terms: 13 + 4 = 17 9x = 17 Divide each side by '9'. x = 1.888888889 Simplifying x = 1.888888889
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