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Simplifying 8(x + -42) + -4(x + 18) = 36 + -2(x + -18) Reorder the terms: 8(-42 + x) + -4(x + 18) = 36 + -2(x + -18) (-42 * 8 + x * 8) + -4(x + 18) = 36 + -2(x + -18) (-336 + 8x) + -4(x + 18) = 36 + -2(x + -18) Reorder the terms: -336 + 8x + -4(18 + x) = 36 + -2(x + -18) -336 + 8x + (18 * -4 + x * -4) = 36 + -2(x + -18) -336 + 8x + (-72 + -4x) = 36 + -2(x + -18) Reorder the terms: -336 + -72 + 8x + -4x = 36 + -2(x + -18) Combine like terms: -336 + -72 = -408 -408 + 8x + -4x = 36 + -2(x + -18) Combine like terms: 8x + -4x = 4x -408 + 4x = 36 + -2(x + -18) Reorder the terms: -408 + 4x = 36 + -2(-18 + x) -408 + 4x = 36 + (-18 * -2 + x * -2) -408 + 4x = 36 + (36 + -2x) Combine like terms: 36 + 36 = 72 -408 + 4x = 72 + -2x Solving -408 + 4x = 72 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -408 + 4x + 2x = 72 + -2x + 2x Combine like terms: 4x + 2x = 6x -408 + 6x = 72 + -2x + 2x Combine like terms: -2x + 2x = 0 -408 + 6x = 72 + 0 -408 + 6x = 72 Add '408' to each side of the equation. -408 + 408 + 6x = 72 + 408 Combine like terms: -408 + 408 = 0 0 + 6x = 72 + 408 6x = 72 + 408 Combine like terms: 72 + 408 = 480 6x = 480 Divide each side by '6'. x = 80 Simplifying x = 80
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