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Simplifying 14 + -2(-3x + 9) = 4(2x + -7) + -1 Reorder the terms: 14 + -2(9 + -3x) = 4(2x + -7) + -1 14 + (9 * -2 + -3x * -2) = 4(2x + -7) + -1 14 + (-18 + 6x) = 4(2x + -7) + -1 Combine like terms: 14 + -18 = -4 -4 + 6x = 4(2x + -7) + -1 Reorder the terms: -4 + 6x = 4(-7 + 2x) + -1 -4 + 6x = (-7 * 4 + 2x * 4) + -1 -4 + 6x = (-28 + 8x) + -1 Reorder the terms: -4 + 6x = -28 + -1 + 8x Combine like terms: -28 + -1 = -29 -4 + 6x = -29 + 8x Solving -4 + 6x = -29 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 6x + -8x = -29 + 8x + -8x Combine like terms: 6x + -8x = -2x -4 + -2x = -29 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -2x = -29 + 0 -4 + -2x = -29 Add '4' to each side of the equation. -4 + 4 + -2x = -29 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -29 + 4 -2x = -29 + 4 Combine like terms: -29 + 4 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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