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Simplifying -9(2x + 5) + -7(x + -27) = 21x + -40x Reorder the terms: -9(5 + 2x) + -7(x + -27) = 21x + -40x (5 * -9 + 2x * -9) + -7(x + -27) = 21x + -40x (-45 + -18x) + -7(x + -27) = 21x + -40x Reorder the terms: -45 + -18x + -7(-27 + x) = 21x + -40x -45 + -18x + (-27 * -7 + x * -7) = 21x + -40x -45 + -18x + (189 + -7x) = 21x + -40x Reorder the terms: -45 + 189 + -18x + -7x = 21x + -40x Combine like terms: -45 + 189 = 144 144 + -18x + -7x = 21x + -40x Combine like terms: -18x + -7x = -25x 144 + -25x = 21x + -40x Combine like terms: 21x + -40x = -19x 144 + -25x = -19x Solving 144 + -25x = -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 144 + -25x + 19x = -19x + 19x Combine like terms: -25x + 19x = -6x 144 + -6x = -19x + 19x Combine like terms: -19x + 19x = 0 144 + -6x = 0 Add '-144' to each side of the equation. 144 + -144 + -6x = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -6x = 0 + -144 -6x = 0 + -144 Combine like terms: 0 + -144 = -144 -6x = -144 Divide each side by '-6'. x = 24 Simplifying x = 24
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