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Simplifying 2x + 7(3x + -7) = -18 + -8x Reorder the terms: 2x + 7(-7 + 3x) = -18 + -8x 2x + (-7 * 7 + 3x * 7) = -18 + -8x 2x + (-49 + 21x) = -18 + -8x Reorder the terms: -49 + 2x + 21x = -18 + -8x Combine like terms: 2x + 21x = 23x -49 + 23x = -18 + -8x Solving -49 + 23x = -18 + -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. -49 + 23x + 8x = -18 + -8x + 8x Combine like terms: 23x + 8x = 31x -49 + 31x = -18 + -8x + 8x Combine like terms: -8x + 8x = 0 -49 + 31x = -18 + 0 -49 + 31x = -18 Add '49' to each side of the equation. -49 + 49 + 31x = -18 + 49 Combine like terms: -49 + 49 = 0 0 + 31x = -18 + 49 31x = -18 + 49 Combine like terms: -18 + 49 = 31 31x = 31 Divide each side by '31'. x = 1 Simplifying x = 1
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