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Simplifying 18(x + -40) = 36(x + -30) Reorder the terms: 18(-40 + x) = 36(x + -30) (-40 * 18 + x * 18) = 36(x + -30) (-720 + 18x) = 36(x + -30) Reorder the terms: -720 + 18x = 36(-30 + x) -720 + 18x = (-30 * 36 + x * 36) -720 + 18x = (-1080 + 36x) Solving -720 + 18x = -1080 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -720 + 18x + -36x = -1080 + 36x + -36x Combine like terms: 18x + -36x = -18x -720 + -18x = -1080 + 36x + -36x Combine like terms: 36x + -36x = 0 -720 + -18x = -1080 + 0 -720 + -18x = -1080 Add '720' to each side of the equation. -720 + 720 + -18x = -1080 + 720 Combine like terms: -720 + 720 = 0 0 + -18x = -1080 + 720 -18x = -1080 + 720 Combine like terms: -1080 + 720 = -360 -18x = -360 Divide each side by '-18'. x = 20 Simplifying x = 20
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