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Simplifying -7x + -18(x + 8) = -8(3x + 9) Reorder the terms: -7x + -18(8 + x) = -8(3x + 9) -7x + (8 * -18 + x * -18) = -8(3x + 9) -7x + (-144 + -18x) = -8(3x + 9) Reorder the terms: -144 + -7x + -18x = -8(3x + 9) Combine like terms: -7x + -18x = -25x -144 + -25x = -8(3x + 9) Reorder the terms: -144 + -25x = -8(9 + 3x) -144 + -25x = (9 * -8 + 3x * -8) -144 + -25x = (-72 + -24x) Solving -144 + -25x = -72 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -144 + -25x + 24x = -72 + -24x + 24x Combine like terms: -25x + 24x = -1x -144 + -1x = -72 + -24x + 24x Combine like terms: -24x + 24x = 0 -144 + -1x = -72 + 0 -144 + -1x = -72 Add '144' to each side of the equation. -144 + 144 + -1x = -72 + 144 Combine like terms: -144 + 144 = 0 0 + -1x = -72 + 144 -1x = -72 + 144 Combine like terms: -72 + 144 = 72 -1x = 72 Divide each side by '-1'. x = -72 Simplifying x = -72
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