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Simplifying -3x + -14(x + 2) = -2(8x + 3) Reorder the terms: -3x + -14(2 + x) = -2(8x + 3) -3x + (2 * -14 + x * -14) = -2(8x + 3) -3x + (-28 + -14x) = -2(8x + 3) Reorder the terms: -28 + -3x + -14x = -2(8x + 3) Combine like terms: -3x + -14x = -17x -28 + -17x = -2(8x + 3) Reorder the terms: -28 + -17x = -2(3 + 8x) -28 + -17x = (3 * -2 + 8x * -2) -28 + -17x = (-6 + -16x) Solving -28 + -17x = -6 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -28 + -17x + 16x = -6 + -16x + 16x Combine like terms: -17x + 16x = -1x -28 + -1x = -6 + -16x + 16x Combine like terms: -16x + 16x = 0 -28 + -1x = -6 + 0 -28 + -1x = -6 Add '28' to each side of the equation. -28 + 28 + -1x = -6 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -6 + 28 -1x = -6 + 28 Combine like terms: -6 + 28 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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